Problem Statement
This problem deals with binary strings: strings in which each character is either '0' or '1'. The characters are interpreted as zeros and ones.
Assume that we have a binary string of length N. Imagine the string as a horizontal lever of length N-1. The weight of the lever is negligible. On the lever, the points with integer coordinates are numbered from 0 (one end of the lever) to N-1 (the other end). Our string represents the distribution of weights on this lever. For each i, if character i of our string is '0', the corresponding point is empty, and if the character is '1', there is a unit weight at that point. Suppose that we place a fulcrum under the point number i. We say that element i of the string is a balance point if the lever is balanced on the fulcrum: the moments of force on either side cancel each other out. A string is called a balanced string if it has at least one balance point. Note that the balance point must be one of the marked points (see examples below).
A formal definition follows. For each valid index i we can compute the torque at i as follows:
- For each element to the left of i, take its value, multiply it by its distance from i, and add all those results together to obtain the value A.
- For each element to the right of i, take its value, multiply it by its distance from i, and add all those results together to obtain the value B.
- The torque at i is computed as (A - B).
For example, the string "10100001" is a balanced string. Its balance point is the (0-based) index i=3. If we put the fulcrum under the lever at this position, we see "101" to the left and "0001" to the right. On the left side we get A = 1*3 + 0*2 + 1*1 = 4, and on the right side we get B = 0*1 + 0*2 + 0*3 + 1*4 = 4, hence A-B is exactly zero.
The string "0001" is also a balanced string, as its last character is a balance point. The string "11" is not a balanced string, as neither of its two characters is a balance point.
You are given a
Substrings that consist of the same characters but occur elsewhere in s are considered different substrings. If they are balanced, each of them should be counted separately. For example, the string "00000" contains four distinct occurrences of the substring "00".
Definition
- Class:
- BalancedSubstrings
- Method:
- countSubstrings
- Parameters:
- String
- Returns:
- int
- Method signature:
- int countSubstrings(String s)
- (be sure your method is public)
Constraints
- s will have between 1 and 2,500 characters, inclusive.
- Each character in s will be '0' or '1'.
Examples
"011"
Returns: 4
The balanced substrings in this case are {"0", "1", "1", "01"}
"10111"
Returns: 10
The balanced substrings are {"1", "0", "1", "1", "1", "10", "01", "101", "111", "0111"}
"00000"
Returns: 15
All substrings in this case are balanced.
"0000001000000"
Returns: 91
"100110001001"
Returns: 49
"11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111111111111111111101111111111111111111111111111111110111111111111111111111111111111111111111111111111101111111111111111111111111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111111111111111111011111111111111111110111111110111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111110111111111111111011111111111111011111110111111111111111111111111111111111011111111111111111111111111101111111111111111111111011111111111111111111111111111111111111111111111111111111111111111111010111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111111111111111111111111111111111111111111111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111101111101111111111110111111111111111111111111111111111111111111111111101111111111111111111111111111111111111111111111111111111111111111111111111101011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111011111111111111111111111111111111111111111111111111110111111111111111111111111111111101111111111111111111111111111011111111111111111111111111111111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
Returns: 74927
"111111111011111111111111111111011111110111111111111111111111111011111101111101111111111111110101011111111111111101111101111111111111111111111011111111111111001111111101111011111110111011111111111111110101111111011111011111111111111111101110111111110111111111111111111110111111111110001110111111111111111110011110111111111011111111111111110101111111111111111111111011111101111111111101111111100111111111111111111101011111111111111111111111111111001111111111111111110110111111111111111011011110111011111011111111111110111111111011011111111011101111111111111111111111111001101111110011111111111111111101111110111111111111011111111111111111110111111111111111111111111111110011111110101111011110111111111111101011111110111101111111001111111111111111101111101111100"
Returns: 6842
"000000000000001010000000000000000000000000000000010000000000000001000001000000000000100000000000010000000000000100000010000000000000000000000010000000000100100001000000000000010000000000000100000000000000000000000000001000000000000001000000100000000010000100010000000000000000100000000010000010000000000000000000000001000000000001000000000000100000000000010000000000000000000000000000001000000000100000000001100010000000000000000100000010000000010000001100010000000010000010000000000000000000000000011000000000000000100000000000000000000000000000010000000000000010000000000011000100000000100000000100000000000000010000000001000000000000000000000000000000000000000000000000000000000000000010000000000000000100000000001000000000010000000000000000000000000000000000001000000000000010000011000010000000000000000000"
Returns: 48946
"1101101111111011101111011111011011111111101111110011110101111110110111101111011111011111111111100101011110110111100100101111110001111101111001101101100111111111111111111111111011110111011101011111110111110111101100111111111111110100111101111110111100111100111111011111111111101111110010011110000111111111011011101111111010101110110100010101100010011111101011011011111001111111111111100111110011011110001110111111111111001101101111011011110110111111111110110010001101110101111011111101111101110100111101110101001111110011111110111110011111000111111011101111110111101111101101110110111011111111111011001000111111111010111111111111111101101111111111111010111101111011000001111111010101111110111110001110011101001111111111110110111110111111011101111111101110110110101010101111101100000111010111010110011011001111110110101001111100111110011011101111111111111110111111101111100110110111101111101011010101111011010011101110111111111110111110111011110000111001011111111011110110101001110110101111011011011011010011111101111111111111111011100101011110111110011110101010101001010011101011001101101111110011011100100111111111111111111101010000011111111010111011100110000011110"
Returns: 10877
"110110110000100001101111011111111111011111100110101111101010100001010111101110111101001011001011001110010100111101101100001101100111011101010101010001111000111101110101100011010111010001000010010000001001110100111011110111101001110111010111100110110111101100100011010001101110001010110110110110"
Returns: 2518
"0000000000000000001000000000100100000000000000000011000000100001100000000000100000011000000000000001000100000010010000010000110000000000000000000000000010000000001000100100000000000000000000100100000000010010000000000000000000000000010000100000000000000000000000000000000000000000000000001000000001000000001000000001000000000010000000000000000000000000000000000001000000000010000000000000000100010000000000000000010000100000000000000000001000010000111000000100000000000000000000000000100100000000010000000100110000000000000000010000100000000000000000010010101000000000010000000000000100000001000000010000010000000000000000001000000010000000000000001001000000000000000001000000000000001000000000000000000000000000000000000000000000000000000000001000000000010001000000000000000000100000000100000000000000000010000000000000000000000000000000000000000000000000000001010000010000000100100000000100000000000000000110000000000000000000000000000000000001000000000000010000000010000000000000001000000000000000001000000000000000000010000110000000000000010000001000000000000000101000000000000000000000001000100000001010000000100000001001001100000100100000000000000000000100000000001000000000000000100000000000100000000100000000100000000000001000000000000101000000000000000000000000010000100000000000000000000000000011000000000000000000000100100000001000000000000000000000000000000000001000100100000101000000000000000000000000000000000000000000000000000000000011000000000000010000001010000000000000001000000000000000100001000001000000000100000000000000000100000000000000010000000000000000001000000000000000000000000000010000000000000000000000000000000000000000000000000000000000100010000010001000000000000000000000000000000000000000000000000000000010000100000100010000000000000000000000000000000001000010001001000000000000000000010000001000000110001000000000000000000000001001000000000000000000000000000000001100000100000000010000000000000000000010000000001000000000000000000000000000011000000010000001000000000000000000000100000000000000101000000000000000001000000000000000000000000000000001000000000110000001000000000000000000000000000000100010010000000000000000000010000000000000000000000000000000100000010100000000000000100000000000000001000000000000010000010000000000100001000000000000001100010"
Returns: 139798
"111001101111001010110111001111111011111100101100111100001101111000111100110010010101110101111010001101001110111000101011010101111101101010110110001111001011110110001101001011101101001011110101111000001100111110001111110110101011011001011111000100001010101101011010111000011011010110111111010001011110101100000010001100101010110110111110000111101101111111010010011110101011000011011011101011101010110011010000111110100111110101011100100010100010111101001101000001111111100100111101111"
Returns: 4653
"1111101111111111111100011110001101111111111111110111111111101111011011101011111111010111011111011100101101111111111111111111110111111111111011111011011001001111110110110011111111101111111110111111111111111011101110101111111111111111111101111110001111111000011001111011111110111111101101111111111111011110110011101111111111101110111011100111101111111111001000110111111111111110101110010111111111111101111011111111111011111101111111111111111111001111111111100101111111111011110111101111111110011110111011100111111101011011111111011111111111110011011101011101111110111111011101111111110101011011110101111110101111010111101111111100111111100111111011111111101011110111111101111111110111110111110111100111111111101011101111111111101101101111110111010111111111101100011111101111111111101101011111010101111110111111101111111110111011011111101010110111010111111111111111011010111100111001110111100111111101111100111111011011101110011111111111101111111111010111110110111101111111001001011111111101111101110111111111011111111011111011010011110011111111111100111110001101110111111011100010111110111101111111111101111010101111111"
Returns: 9909
"000100001100000100001001000001000010010001001000000000000000000000000000000001100100000100001000100000100001100000100111000000000"
Returns: 2797
"01110000001111110011110010111101010011101110110101110101000011011011110110000001101000010011110010000000001101010100110110011000010001011100100110101110011101101011110111100001010001101111000111111011000100110101001100110010011100010011010100010111010100011111111001100111101001011001011001111011111100110111111111101111111011111011101101000101000010010100110011001111011011011111011111011100001110011011100101100111101110101101010110011101101011001100011111110011011011000001001110101000010001110110111111100111000001011110001110110111000001101110111111011100000100011111001011100001101001111100110001010111101111110100010101010110110010111100011111000101000101101001001100110110110100110011010101111011101110100110010101110101110000101100110110111001001111111101111010011100000101010111111110111100100000101110111010101011111110110000101100110111101000101011111001101111111110011010111011100101111101011011101100110011111101101011001010011011010110111010101001110010111111110011101011110110001110111111011111001011101011110011111101010011111000011110011010010100101000001110110111010010111001101111010010101011111011101111101111101111001000001101111101110101100110011101101010100000111000100101101101100110010110110011110000101010110001101001110011000111111101001101110101100101011111000111101100110111011011111111011111000110110001100110110100011010010100110110100101110100100110001011110010101011010001111100100111011110010001111011001111010110001110001001010111000101101111111110010000010110111011110000111000101111110100111111110110111100110111101111001101110110000010011001010101010010111111110111010111110011010110011110101001001101111110101011100011101011011101101110100100110011101010110101110001111111000011010111000011110111001111110100000100111110011000010110110100111100111101100111110110010110110101011100010011110101111111011110001101111111111101011111110111001100000110111101111001110101111111010011101000110010111110100101111101001101010011000110011011011110110100111110101110011010011001110001111001111001001100111100111110111110100111111111010111010101111000111100100110010000111111111110101111011101111001111110001000011111010010111110100010111111000110101"
Returns: 25559
"10100010101100100101000101010000011000000011111101000011000111100101110000110000010000000001000011010001100000001100110010110001000011001011011100000111011101001000100000000100000010000101011010101010000001000111101100000000000000100000000001000101000000010000100011000101101101100010001111011100001000100000010100100001001100100101010100000100011000111011000000100101010001011010100110001101001010111011101010110000100001011000100001101111111010111110011000010000010100000010101100101000101101100001001010010000000001000100100111001101011001100101010100100110111100000010000000001000010100001011110010000111001101010111000100010001000100100010100100111010110110000011000011000101000101001010000110001100110000000001111100001010000110100011011100010001110000101100100101100010010011111110000001011100101100001001000010010001010000010101001010010101101100000001010001000000001011010000110001101001101000001010001000011010100001100111010000000010101000001111000000001100100110111110010101000100011101001101011100101011000001010001100100101010100011101110100100101010101011101001111010011110100101000010011010000100000010001000010000001110010110100111000111100000010001101010101000100000000110001010101000011000010011100100101000011111000011000011001010010000100010010000100110001101000011100010111001000000010100111010010010000001101011001001101100011010000110000011010000011010011000010100010000001001001000111011100111000011000011001011000000010010010010100001000011000101010010000001101110000100000000101101011000011000000010111111011010001010011000100111100011001010000010101011001000000011001000101110110111000000100011010001100110000011011100100011010101000000011010000001100100010110000011000001111000000001101010010011010001000001110000101000001010001110101001001000100000000010011110110000011010110101111001100100010101111100110111100001000000101000100111000101010011011010000011100111010100100000100110001001100011000100000010000010010010100010101000011100000000100111011100000001011001001101010001000110010010010011100100000101000000110111000100100001001011011000011001100110010011101010110010000001010101000101010"
Returns: 37499
"0001100000001000000010101001000000010001000000001000010010000001101000000010000000100000000000000000011101100000000100100101110000000010101010000000010000101011100011001001001101010000000001000110010000001110010001000000110001000101100000001000000010000100110000000001110010000000100101001110000000000010010000000000001100000011000001000100000011010000001100001001000011000001000000000000001100101110000100001010000000010100001111000011101000100000000000001000101000000001010001010000000000000000100000100010000000001001011110010000000010000011101000100100110100100001011001010101000000001110000000000010000100001110001100001010000000000010110000001110101001010000000001000011000100000010001010110000010000010010000000101101001000000000101101110101000010010001000000000001010010100010011110001100000000010010010100000001000100000101000000111001100001001100000001001001000000001110100000001100000001010101000000000000001011011110000000001000000000000000000000100000110000100000011000000000010010000000000100000101100000100000000000000100000000000000010010000010010100011000011001001100100010000000010010000100000111000000010100000000000000000011000011000000010001100100101100000100000000100000001010001000000001000100001000010001000010010010000110010100000000000000000000000000010000001001000010010000001000101101010111000100001010100011011001010000000010110010001010000101000000100000000000110001101000100000000000001010011011100000000000100000010000000000111100000000000001000010001000010000010100100000000000010001000011000000000000000100011001010010100000100000100000000111110101000000000000100010000000110010111000010001101000010000010100001010000000000000010000000110010100010000000000101000011010001000000000000000110000000000110000000000100010001001010110000010110010000010000110100100101000010000000001000001011010010100100010001100000000000000000001000101000000001010000001000000000000001000010001010000001000000000000111000010101000001001000110010000000001000110010010100001010010010000000000101100100010001000000100000000010000001100100100000100011000001000010000000000100000000100100000010001000000110100000000001000010000001000000100011000101010000000000010000000000101000"
Returns: 58053
"111111110111111110011111111111011101110011111111111011111111111110111111011111110110110101111111111110101111110101010111110111111111111101010001111110111010111110100011011111001111011011111010111110111011101111111011111001110110111111111111111111110111111111101111111111101100111111111000111111110111110101101111011101110101101110111111111010111101111111111111101111110111111101111101111100011111111110011011011011111111111111111111010111100101111011101011111111111001110000111101110111101011010111111001111111101111111111111111110111011111010111111101101111111001111111111110101110110101101111111111111110000011011011100101111111011111111111011100101111111111110111111101111111111111111111111110011101101100101011111001100111111111101110111111111111111011111110001111111111100111111111111111111111101111011111111111111011111011100111111110111111111111101111111000110111110111011111101110110110111111011111111111100111111110111111111111111011101111010111111111011101111111100111101111011110011110111111101011111110101011001110111101011101111111101100111111100101011111111111101110111011111111011111111111110111000101011101101111111011011111110011111111011111111101011111111111111111001111111011111010111010101111111111110111110111111111111110111100101110111011111111110011111111111111000110111010111111100111111111111111110010111111101111111001111111111101111111100111101101001111011111000011111111011111111111011110111111011111001111110111111111111101111110111110111111111111110111111111101011111111110101111111100111101111111101101111111100110111111111100101100101111111111011111011100111111001011111110110101111110111011110111111111111111110110110111111111101111011010101100101111011111111111111111101111111110111110001110011101111111111010101111111011111101110110010110111100111111001111111111101111110011111110011111101111111111011101111111111111111111111111111011101111110111110111111010111111111111110110111111111111111111111001011101111011110111111111111011111111111111110111111011100011111101111110010011001011100101111011111110111111101111011101101011111111111111111110101011101111111111101011111111101110101001111010110101"
Returns: 21006
"1101110011110010010011011011001111111111101011110110111000100101001000101011101100111100101111000110001101101001011111001101101110110111111011110111011001000010010110010001011111101010101001110100111010011110110011111111110010111111000010010110101000101111011001110101000100111011111000100011110111001110011111010111001011010011111110101100100110110110011101110101110110111000011001010111111011110110010100001111100100111011011110111010101110110100101110011001010100111010011111111100101000010011101011100001110011001111010001110110101011000000111000100101100110111011111110110111101001001111011011101010100110011110111111011110001010101011010101100010011001000101000101100001100010111101111010100111111111111011001001111010111100100010110111110110111010010010000011001101110110111111100001101110100110000111011101011110110101111100001011100101010001011111011111011100111110001010110101011011100000000111100011010001000101000010000010011000111100111010111010010011101011110110001111110000011101100101010000001010111111010010100011011111001111101110110100010101101001001110101000111001001101000000100111000001010000111111110111111011000001110010110010000000101110111001011110101001011010010101000101010101101010111111100011110010101100111110111010011110011111110110011001010000111111011110101111100000101101100011011001101101011110010011000110111011110011000000101111000001111001000100100000000111101001011010110010110001111100011111110111101111101101110101111111101011000011100000010001100000001011111101110111010011101001110100101111000101100111111011110010011001000111100111010101010100010101100101011000111110110010110101100110011100110110100011110010100110001101110111000100111011111001110111000001110110011011010010111101111011101011000111101111001001100011011010111101000100100100111010110010110110001100000011010111011000111001000101011111110101111011000010000110010000010111001101111110001101000010010010110100011001011111111111110101011101111101011010010111110110100000101110101110101101111101111110101001101011111000110001011111111111000111100111100111101111101010110011101111010010111110001100010111100111101010101001111000111110000010000111101111110101001011011110000010111011111100111111111001000010111100001111110000110101100011110011101101001000100101011110010111110100010000111111110011111110101001110000101110100001100101101111001100"
Returns: 29084
"1000000000000000000000100101000000101001000000000000000000001000010000000100000000010100000000000001010011100000010000000000100000001001000000000000101110001000000000100000001000000100000111000001100010000000001010000000000000001011000000000000000100001001000000100100001001011000100000000011010000100110010010000001000001101100000000000000000000000000000000100000111000010000000100000000100100001100010100000000000100010000000000000000000000000000000000101001010001000000000000000001000100000000000000000000000001100101001000010000000011000000000100000000100100010100101000000010000000001011000001001000110000000110000000000001010000000000000000000000000000000011100000000000000001000001000110000010100001000001010100100010001010000010000000001000000010100000000011000001001010100000010000000010000011000100000000100000000001100000000000010010000000001100010000100100000000000010000010010011000000001100001100000000010000100010001010000010111001000011000010000000010000000000010000001000000100001100000000010100000000001000000000100100010010000100000100001000000000000000000000100101100001000000010100011000000000000000000000000000000000010000000000100000010011000100101000110000000100010010001100000000100010000000010000000000010000110000001100000011000000000000000000001100000100001000000001010000100000000000001100010010000100000000101010000100000000000000000000000000000000010000000010010000010100000001100000011000000001000000010000000000000010000000010100010000000000000000000001000001000100000000100001000000100000000000000000010000100000001100001001001010000000101000110000010000001000000110000010001000000000000000101001010000010000000000000000000010000001000000000000001001000001101000000010000100010110010010101110001010000000001000000000000010100100000000000001010100000000000001000001010000000001100000101101000000101000000010000100001000000000100000000011000000100001000000010000000000000000000000100000010000000000010000110000000000101110010010000000000000000000001000000001001010011000010000000000000001010011000110010001000000101001100100001110000000001000000010000000000000000100100000000001000010001000000010100000000000110000000000000000000000010010000100000101001000000010"
Returns: 77363
"1111101011111111111111101111101111111111111111110111111111110111111110111111111111111101101111111111111111011111111111011011111111111111111111011111110111001111111110111111111111111111101111101110111011111111111101111111111011111111111111111101111111111001111111111011111111111101111111001111101011111101111111111111111110111111111111111011110111111111111111111111111111111111011111011001111111110111111111111111111111111111111111111111111111111110011111110110111111110111111101111111111111101111111111111011011111111111111111111111101011111101111111111101111101111110111111111011011111111111111111111111111111111111010110110111101111111110111111111111011110111111111111111111111111111111111111111010111101101111111111011111111111111111111011111101111011111101110111011111110111101111101110111111111011111110111110111111111111110111111111111111111111111101101111111101111111111111111111111111111111111110111011010110111111111111011001101111111111111111111111111111111111111111111111111111111011111111011111011110111111011111111111111111111111111101111111111101111111111111011111111111011111011111010111111111111111111011111011111111111101111111111110111110111110110111111111111011111111111101111111011110101111011111110111111101111111111110111111111110011110111110110111111111111111111100011111110110111110111110111111111111111111111111111111110111011111111111111011111111111111111001111101101111111111111111011101111111011101110111101111111100111111111111111111111111111111111111111111111111111110111111111111011111111111111111111111100010111111111111111111111101011111111111111101110101110111111111111111111011111111111111111111011111111111111111111111111101111111111111111110011011111111111111111011110111101111110111110111111111111111111001111111101110111111110111111111111111111111111111111111111111011111111011111111111111111111111111111111111011011110111111111111111111111111001111111111111111111010111111111111111101011111100111111111111111111111111111111111011111101111111011111101101111111111111011111111111111111101111111100110111111111111111011111101111111111111111101111111111101111101111111111111111111111111111111111111011111011110110011111111011111111001111100111111111111011111101111111110111111111111111111111111101111111001101111111111101111111111111111111111111110111111111011111110111111111111111111111111111111111111011"
Returns: 26030
"111111110101000011000110000010011000101101001000000010000101100010000001011101011101110011100111010011011110000011001101100111010011011001000101110010100000010110111001001000001111010110000110001101010110000000010101000110011110010000011011100000011010000100100010111101001101010101010000010011110011111001000010001011100000100111010111111101000000010001100010001100011111100110110001110010000001101000011011000001010101100000100011010001010000000000001100010011011101010001011110011011010100101000101100000101100010000101111011111000100000110110001001100110001000010010101110001010001010000100000001010010010100011010000011010000011010101000010101010010100000011001011011100000111011010011100000001010111001000101111101010110000100101000011101010000010001110111000000000000101010011100101001100001101111011011011001010001011100100100000110100001000000010010101100010100101001000011001110001000010000000001100111001010110000001001011001010010101101001010010100100110101010010100100100011100011001011100111011010011001110100111111001001100001101111000101100001000001110100011000111100001001001011101101010000110100000010011011001101100101110101010011000000000101100111000011011011101011010111111001010000000111001100100011000010111010010111001001011100111100001001000001100101000100101000000001001110000110010111101010010010000011110101100001010000010111100010000100111100010010101001011011101001110100111110110010101011111001001010011001010000000000000010001000110100101111000010101111110001011011100011000110101001100010110110010101010101100010111001110011101000110010011110001101111000000000010000000011001000001000001100110100111000100010001111100001010010000111001111001000110110100100100011100000110110101010111100100000100110100000111100000011111010001001011000100101000011101100001101000111001000011010001110111111100010111001000010111011010011010100010000010001000111001111100010000100110001010010011111100001111101010100110101001101111110001010000000011100000110001100010000010101001000000010111000010101000011100011100100000100111001100000100100000010"
Returns: 33461
"10010111101111110100001110000101101111010110110011101111011001001110010111010011110110101011001001000100101011110011101100000010111111011011000111110011000010011001000011000101110110111100101100101110101000011101110001101101101011111111110000010100100111100110101110010010110111101101010111111010101100110110111110011110011111110100011100100100001110101101110010111010111101010101011000111011100111111010111011011100111111101101011001010110011010010011011101000010100000111011111111101110011100001111001010110000000101100101011001100010001100001001110100110001010100011111101011111101101101111111110011010110111110101110111011101111000110000011111011110100110001101111111010000111100000101010000010111011100100001111100110101111101101110111100101010010101101001101010110010011011011011000110001011111111000101001010001000011111111110010011100011001101100111111001011100101001010010100101101101101110011100111011000110101111111101010110011000010010101110100101101010110100111100011101000110111011010111011000010101101111110110111101101101101000001111100011111000110111001010001111110111011010101001110110010001111000101000010011110101111011010101000010100100101001111111100100000110001111110101001000111010111101001011011110011110100111011000111000010100110101110111111101111010011100001111010000101111110101101110010111100010101101110100010110111100100011011100010101011111001100100011100110010010101001110110001001110101010100111101100000111101101110101000011001001001001100011011110100000110111011011101000011100011111101000111011000101110000001000011001101011010101110101111101100111010001000110000001111100011100111101010110111110111111011000010011001100111111111011101111011111001110000100110001011011000111111010111101010011111101100000011101011110111001011110010010011001101100101100101011110111110001010001001101011100111001001011111110011011100001001101100011110010111000110100001111011100110010110101010100111000011101000010011000101111010101101100011110011001011011000110001110110010011111010101000100101110100110100110110111000001111001100100110110111111010111000101000110011001000110110000010011111111110001110101111000101111100001101011111010011011010111101101010110010111111101100011111100111011010011101011111010101101011111110110011111110000101100000000110110000111011111001010111111110110100101010111001011111001111000111101111000101101101001110011011010111000110000101101101"
Returns: 29689
"01011101011111001001101110110101110100100001011001101110100111111011000101010111101011000011011011011011010110010001100011011011001011001100010010011101111111111101010110000100000110101110111111111010111111011101100101011111010011100011111001110011111101111110100011110111011010001001101101101100101100101100000100010110010110100101100110110111000100010100100100010111001011000000110111001100110011000111010101000110101110010010001110100111101111011101111110100000100110011000001111111111010111111011100000001001000001000110001011110100101100110110101011101100110111111110111101010110011011001000100111111101010010111100110011110101101101001101111111011010000010100111101010100101101101101010010111010100111001001100111110110100110001010110000110110111100101010101111101111011111010010110110100111101110000110010001101011001111111110111111100100101001011001100101101110011001111011111111101100001101001001011011010111101101101111100100101100011010110111101011000111101110110010011111011100010110001001100111111111100111111101011100110101101000111001010011011011110001111101111001011001011101111011010111001011011100010101011011100001110101010100111101011010110111111101011111010111010100101110100010000011011011110011101111010011110111111101101111101100010010110111011110111100111110001010110011101101010100001111011110100111111111001111111011111111110000101011110001110101100111001111010101011110111101110100100100100111111011011110011000101101111101110110111101011100110100100111111011001011011001011110001001110000000101100101011001010010011101011101101110011011110100110111011010011000110100110110011101110000101011101010101111010010111000111001101110101111001100010101001110101011011010110111001010111010101011111110111001010110111110010001101011101011111010101010010101010010011110101110110100100101010001110011101110001000101111011110011110110111000011000101110001111010101111110111011011111001100011000111110001101011111000111110010000101001111111001000111010111110000011111000110110101111001111000110110111000111001011001011111"
Returns: 24135
"111101111111101110101101101110011111101111111011111110111111110111111011110010111011101001100101100101011110111011110100011011111111101101111100011111111110111111110011111111001001000101011011110011111011101110101101111111111011001111100001111011111000011011111111110001111101011100101111111010000111111100110000111101110010101111101111111000111011101101111011111101011110111010011110101100011111110001111010110110110101011010111110100111011010110011110110001110011101010000111111011111001111111111111111111110111111111110111100111110110110111111110111011111111101111101110101011100111111111010111111111111111111101111111110111011010110100101111001011111111111111111011111011110100111111110010101101011001001010101111011011111111101010111101110110111111011110111111111111010111111110011111001111101110101000111111111111111111101111111101111111111011100011111001111101111100111100101110100111100111110011011011011100111011110111101111111011110110011101011111111111000000011111011101101011111010101111101111110110001000010101111111101111110111101011010111111111101110111110100010100111111111000101010111111111110001010011111110000111111110111111011011111111011011011110111100101111110101101111110111101101111011111110111011111101001111111100101111110100111011111010111100111101101100101011111001001111111011111110111111111111011111111011100011111111001100101111101110111110011011011111100111111001111010111010110110111011011110111110100110111011110110011000110110111101111000101110011111011111101110011000011001011011101111101111111011101111111000111111010010100011011111100111111111111100111110111111111011111000110110111101000010100001111101000111101011011111010110111011111101111011111111001000100001111011101101111101110101001011111010001011111011101110111111110010010011111100111111010111101011111110101100111111110100000111111111101011111010011111110011101110111111010111010111101110101010111110011111111110101011000100101111111010011111011111101111111011110110111010111010111101111111101111111111111111101110010111111101101110111101100111110100110011011110101110011111111110111111010110111110110111111110111110110101111111101010111111111100001111111100111110100011110111011010101101111111111100111010111011000111111001011010111001011011101111111101001010101111111011001010011100111010110111001001111111110111101010101100111111111111010110001010111111111111100111000111111101101011010101"
Returns: 25257
"0001001110010010000100101010000001010000011001010101001010001000001101000110111111111110011000000011000000000000001010110101111001000100011100110000110001101101010100011011000101010101000000000001000010000001011011110111011110110011000101010000000000000100000100110001110100101100000101011010000000000000010010001100010100010001001000111011001101010000101000000001111000001001100110001000101100001001110100001001000100101010011001000000001110010011000100000001100010001001011010101111000100100001001011110111000110001000010010100000000000000110110101000000100011001000010110100100101110010101000011000001000000110000001000000000001001101000000010100001100001111111010000011000000101011001101000001110110000011000101110010000000100011001100000000101010001011101000000011001111011010010100100011111010000011111100000001000000001011001100111011100000010010010001010000000000100000001000011001000011100000100000000010110000100000000000100010100110011000101010011010110110101000110000001100101100000000000001000000101000000010100100101101010011101010011101000000000000011001010011110000100111100001010100000010010001001011101000000110011100001001100101110011000000001100000100001110100010110001100100101000011110101010000100000000100000000001101000000001000100110000000101100000010110000000000010000000010010101000011100101100110110001011000000000001011101010111000010010100000010110100100000101011000101001011111100000101000101100001000010101000000101100010111100000100000000010000011110000000000001000100110001010000111000101010001110001100010010001011011000011101010011100000110101001011000110000000100100000100111010000011100001000100001111010110000111000111000101000101000001100000001100010010101010010101001101100110001000110001100001101011110100000110111010100010100111000011101000100000001101000100000011011001010010000010010010010110010111010000111000101000010011000001000110100101000000001000100111111001000010001011000111000001001100100011001001110011110001100110000000000000110100010000101001000000000000110001010101101000010001001010101000100111000110100001101101000101001011001011001100000100001000100100000010100011001110001010001000001101000000100101001011000001000110100001010000101110000001101010000011010001100111000100000011000000001010011101000000010000100110000110001000000110000001011001001010110100101111000010000100011011010010011001011001000011100000101000110000010100000000100010011000100101101001110100001011001000010000100011001110110101101010011110000111111101000011001000001"
Returns: 48141
"0100110000100010001011111111010010010000100000101010000110000010010010111100100110011000000110000001100010010001011010100100011001000000111010110100001011110000011000100011110100000011011000000000001100010010011011100000000100000011110011101101010000110001010000101011100010011101010010000100001001001010000100000000000010010110001100000100110100000100000000010100110100010000000010100001010000000001111001000110010110001100010001101001000000001000101001100000001000001000000111100010000011000100011000000100011100100001101000110010001001110100000100011111000000100100101000000010000110101010000000001010010011100000100011001100000000111010001000111110100010011111101001100110000001010100000110000100010111100000010000000011000100000001111100000100100010011110010100110010000010011000010001010001001010001000100000000010000000001000000010100000100100001010100011000101000010110000010001010100011001000011000001100010011000111100111001100000011110010100101100000100101000100110100000001000001000001001100000010000101100110000100100110001000101000100100100001001000010001100001100010010011011001010100010010000110001010101100000110000100100100010010000001011001110110101001001100100110000100101001110010111110110110100100111101100001000101000011011111000000001001011000010110000011111000101001011000001100001001100010000001101000100100010101101000100100011010000100100010000011000000001001000001110000000000010111000000001110010000010010111110011011001100110000000101011000010011010000111000000011110000001000001001100010010001011110010100010001001110001100100111000000001001000000000010010100001001000000001000101101000101110111111001010001000000110100110101010000001000100000001011110000110101111000000010001000001011100010011111111100110010111111100101010001000000110000010001000011110100001001010011110011100010000101100010110100100000001000010101100010001010111000101000000010010001000010000001100101000001101000110000000010000000011001010000010110010001010100001000011010101000001010110100010100000100010101010100011000010000011110100000011100110011111101001001101000000000110110000000001000010010100010000001110001000011001001011000001010100010101010001100000110100000111000101001110100110000101100001010101000100101101001100001101011101011001111000100100010111001100010000011001101111000100100111100001001000000000001101010001100011110101001000010000110010010000000001110001110110011110010100111010110001110011010001011100000000010000000100100101100000111101101100110101001010001000010010001110"
Returns: 46954
"0000000100010100000000000000000100000000000000010010000011010010000110000000000000010000111000000001000000000000010000001000000100100100000001001010000100001000000000101000100000000000000000000000011000001001000000000011101000001000010000000000010000000000110000100000000101000010001000010100000000000100011001000000000100001001000000000000000001010000000101000111000000001000000000000000000000000000110000100000000000000001000010000000000000010100000000000011000001000110010001010000001011100010010100000000000000000000110000000000000000000000010000000100000001000000000000001000000000001000000010000000000010000000000000000001000010000010000000010000000000001000000110000100000000100010100000101010000000010000011000000000000110010000000000100000001100101100000001100000000000100000000010000000000001010000100100000000000010000100111001000000000100000110000100000000000010000101000100000001000000000011000100000000000000000001000101000000101000010000000100010000010000001000100100000001001010000011000000000000010010010000000001000000000001001000000000100000101001000000101001000000001000001001000000000000000000000000000000000100000001100101000100011000000000000000010100000000000000000000000000100000000100000001000000010000100010100010000000010001000001100010001100000000000010010000100010100000000000000101000000000001000001000010000010000001100000000010001100000100000000010001001000000000000010000000000100000010000000000001000000001000000000100001000100000000000101100001000001001100000000010000000110000001000010010100000000000010010000000011101000000000100000100000000000001100000101100001010000000000000000000000010101000010011000011000000111110000100011000001000000000100000000000000000000000000000010010000000001000000000110000001000001000000010010010000000100000001000100011100000000000001010010001000000000100010001000000100101000000000000000001001000000000000101100000000011110010000000001000000100101000000000000000010000000000000000001001000000000001110000001000110000000000100000000001000000000000000000000000100010000100100100000000000000001100000100100000000010001000000000000000000000000000000110101000001010001000010000000100000000000000000001000000010000000001000000011000000000001010001000010000000011001000000000011010000000000001010100000101000000100000000100000010100010100011000000000010100000010000100000100100000000000000000000000010000100010010000010000000000000000100100000001000000000000010000000100000000001001000000000010010010000000100010000000000110100000000100"
Returns: 96049
"1111111011111101100010010001111111001011111111110001011111111011001101100010011001111110110010110011011110100110100011011011111001111101011011101101011011110101101110101101111011110101011100010101000011100111110110111111001010001011101101101111111110101101100010100111110010010011101101101010110111111011011101101011111111110111110101101101010101101110011011100101110001111010101111110010000010010001000111100111111111111101101001001010110001001101110100110110100100001100010100110100111000001001110011110010011111010100101111101010101110011110100110111011111101110110001011101110100101011111111000111100100101001111001110101000101111110011101011111100101101110110011011111010111011011011001101111000000001100111111110011010110010000111100101001111001001110101000110011010001110100110010000001101101110001111101111111000100100010100111011011010111110010111110011011101111111111011000100011110110011101001111011010001011000111111001111111111100110111111101101111110011101100001000100100001010000001000001000011110010011111001001011110000010111011101101010110011010001101110001101010110101111111011110010001001110111111001000001010000011111011101011001001100101110111111010101111100111100001001111010101011010100010010111000111011111001011101111010111010111111001100110111010000111111011100100100111010001000111011111111110000100011010101011100001000011100110101110011011111101001100100110100001100110100010111111011001000001011000001001000000101110010110000011111010100000000110111011100010111110010110110101000100100110111011001010100110001001111111111111100010110101000010001101011110111101101101001010001011001101000001010011011101100011011101011100111111111111110111010111100000100101001101111111111011111011101100101110101101010011001001100111000001101101111001001010111011011011100011101110110010101110100100111100011111010111110110110011110001101010010011101001111101001110011010110111110111111000111111100111100111000101111111110000000111111011111101101110001100011110000101100101110101001000111010010110111110100101001110101101110011001001110110010001011111110010011100110101011111101011001111100011110101111110111101100110011100100001100101110111011000000010001001010011101011110010111010110000110101000010110001111101100100111111111000110010011100001110100010001010110110111111100011111001100101100101110001110011011100100111011110001100101110011100010000110001000100011110111001110111101101110111111111110011111010111011111010010011000010100100110011111011111101110010111101111101001101010"
Returns: 31346
"0000000000000000110000000101001001000101110110100100001011010000000000011010000010000001000000110111000110010000000100001101011000101000010010000000001010010100010000000000000000100011110001001100000000010000101100000000000100000111010000111001000000100001000000000101000000000001000000000000100101011110101010000000001000001000000000110000000010101000001100101000000010001001001001000000011001000010110000000100010011010001100000001100010101000000001000010100011010000000010111110010000010100000010001001000010101010111010000111101100011110110010101000000100100000100100101010101000111001000100010000000001000010000101001000000101000000110000000000100110000001000111010010001100000100001000000000000000100001100100010010100010010000001010010001000100100100000001000000000100100010110110100011010011011010000000000000000000000000100010000000000100001000000100001010010000100000100001010000000001001001000000100100010001000100000101001000000000000100000000000000110001000100000110001000010001100010100110000001100100110001000000010001101000000000000000100100100111100000110010001101000000001000001111001000000000000000100100111000000001100000010011000010110101000000000000000110000001001000000010100100101000010000100010001100000000101000000010000000000001000010010000100000101001000010101000100011000000011100000000001001010000100001100010110001000000000010000111100000000000000101000010000000000110011100010011101000000101100100000010000010101000110000010000000000010011000000000000101010001001010001100000000000111000011101100000100000000001100010100001001000010000011101101010000001000000001001000010000101000100100100000101000100000001000001001001000000001001000000110000001000000011000110000000010000000100001101000000000000000110000100000010000000010000000000000110001000000000000000000001010000001110010000000100000000001100000000001000000100000010000001100101000100000000001100010010000000001110000110010000001100100001100001000000010000010000010010000011011100010000000100000101001011011000001000100101001000010101000011000000100000001010000010001100000001101100000010000000010001100010111010100000001011000100100011000001100000000100101011001110000000110110100010110000100000110100110000100000010010100000000100010001001000011000110010000001000000000001001010011000001000001000110000000000000011001100001111000000100100010100001000010001000010011000001000100101100101100000000000100000000000001101110000001010100010101100000000101000111000001100000000101100001010100011000001000001010010001"
Returns: 64465
"0100000000011011011000000000011001110011010000001101110100100100100100000000010000001010000000001001100010000001000000000000100000000001011000100010011000100010000100110011000100000001001001001000000010000010001001010001000000011000001001010000001000000010000000100101000100011101010100110010000010000000001000000010101000000000100001000000000001010000001010000010000000000000100010000000011000000000000001001010001011001100000001001000001000001000000100000010000110100001000100100001100000000100000000000110000000000001010000000001001010000010000000000000001000000001100001001110100000001000000110100001010010000000000010100000001101101100001110111101000010110010000001100000001101000000011100000000010000000100000010011100100100000000001000010010011000000111000000000001100110100100001001101010100100100000101000101010000000101010101110000110000010000100110010000100110000101001010000100000000000001010001000000000000101100000010101100100110100000000000001000000000100100000100000100101011010000010011000001000100000100001001011010101001000000000001000110010001010010101000000010000001000000000000101010010100100101100001000110100000110000100001000000011001110000000000001111000001001100100000001101000000000001100100000000000010001110000010010000000100000000111010011100000000001010000000100011010000100010000010000010111000110000000110001000110000100001001000000000001000010001010100000001010000000001000000000100000001111001000001000100100000000010000010000000001100001000101000001110000000000100101010010111111000001011000000000010010001000000000100100000010010000110000000100000000110010100001101000000000010000100011100000001000011000100111101000000010001000011000001110000000000000000110001100101001010100000000010000100001010110010000000001000001001000000000000000001010000101100100010001001000000000101010010010000100000010010010000100001011000000000100000010010000000101001000000000000001000011110000000000100110000100011000000000000010100000000000000000000101010001000000100110001101000000000001111000000101011000100000000000001010000100001000000100110000010001000000110010010100100000000000000011100000001000000000100100100000010000100000001010000000010000110000001000010000010101110000000100000011000001010000010001110100000000101001011001000000010110001000000101000000100010000010000101100000100010010010000011000000100100111111010101101100100000010010000000000110001100000000000001011001000000010000001011100011000000000000000011100000100000111101000000001100000000000000000000001000"
Returns: 65705
"0100100000111001000101011110111010010001001100001000000000100000110001111000100110001100110010010001110000010010011000010010011000010010001001100101111100000100010111000011000111010000001110000100101000001101111001001000001001010110101011000000100010011110101100100000101000000100111010000100010100010001110000011000100000000001001000010000000100011010101010000101000111110000000000000000000010000000001010010100100011000110110000010000101001000001010000110000010000100000010100000101000000100000110110100010100001001000011001001001100110000010000000011100000100011000000000101001001000100010101001001000011000100100000000101110001100001110000001000001000110111111010011100000011100011000001001010010111110000000100011100000010000100110000100000101001001010110010010101010000110110110100100010100010110010000101001101110101101011110010100010100010000010101110000010010000000010000001010000001000010110001100001111010010100000010111111011101101000101110011011000010001111000000000010010000001000111010010001100000100000000001110011011010111011010111100110000000001000101011111101110000010000000100011010001111001000010001100101101111001001000001001011000000100110000101110000000000001000000000000001000111101001000000000001001001010100000000100010011010000110010100000000001101000011110001010010100000100001100110011000101000001001000111000000100000000000101000010000110010000010000000000000010011000000110101110010000000101001101010100001000110100101010001100010100111001001000001100000001100110001011010000000110010000111000010001001011010000000000000001000011000000100101011100001010100011101000100001001000010010000000011010100010100000000001101110001001100111010010000100100000100100001000111101000100110001010000000001010100001111101110110000110010000000000100001000000010100000101100011111000000001001011000000000000100000000001101100100111010100100000011000000010100010000101100000101110111001001100001001000000010100000000000001110010000000000000011001000000000011000011111001000000000000000000001010110110000000010000000100110001001110100000000000000010000100001100000000000000111000000100000010000001000000000000000000101000101100101000000000100001110011010100000011101010101100101101100000010000000001001001001000000000101010101011001011001101110000110000100101000100101100001000010000010000000010000100000100010101000000001111100000000100001010001000100001000001001111000000010001000100000000100010000010110101001000010010101000001101001001110010000010000001001011001000011000110100111010"
Returns: 54146
"1101111110111100111001111011110011101110101011010101101100110111101111111111111101101011111110111101110111011101010110001011101101011111110110100110100011010111000001101010111111101111101011111101111010011111111010011111111110110111111111100001111110101111111000101001110001010111011011111100100110110111101110111111100011100110010110111110111011111100101001101011011010101000100000111100011010110010111011101010111111010101100010111111111000010111111111001010011110110110111111000011100100011101111110011111110001000111110100101000101101101001101111001110111011101011111011110000100101100110010101101011100111110101110010011111010100010100010101000000111010101111011010111111110010101011111110001011010111110111110101011100101100100110111101011110111110101100011011100001110111001011101011011011011110011111011011001101100110101001001101010111011100011111000110011110111101110011010011011101101111101010010111100100100011101011000101111110011111110011010110111011111110110111100111100011100010100110111001011111110010101011100101111110100111111011001011010011110111101001111001000110010100111111011001111111001101101110110011111111111110111010111111011110111111111111001101111101010101101100101011110011001111100111010010101001011101000111111111010011111011001011110011111110101000111111011111010111111111111011000100101011110111010110000000001010111110111110111010101001101110111010101110110011101010101110011101111001011010011000011110111111110101011011100101011110000111111111101100111100000111110110111101010010001111110000101110101010000011111111010111011111101111100111111101111010111010100111110100010001111001011011011110000110101101001010100100101101101110111101011111101101011100101000011001111000111010101111101101111110011111111001101111111110111001111110100110101101010111101100011011101100101111000100011011001111110110111101110110111011110101101111111011111000010011110110111111101011011111001101111011111110111001111111101111101101110101110110110110010111101001011110001111011011101111001111111110100100111111011101111101010110110110011111000010111001101110111111101111010010100111011011110001110100100111000011111101011111111101111101111011110100001001111110101110000010100111111111101101100111110110000100111001111001011010101101110101010001100001101010010110011111111101101111011101011010101110111101111110001100010000110101011111111111000110001111001101111111111001111011001010100111011011101010010000001011101111011000110111111111110000110011101101101001100001100111011111101000"
Returns: 28958
"0010100001000001010101101011110000101010001010010011101000010100000001100000010000000000100101000111011000000100000010010000000010111000010000001000001100010000100100000000000001100011010000010000000100001000100000110010001110010000011001000010010001001100111000010000100011000000000101000100100011110101011000000011100000011100000101110100100011001100000010000101000000110010001100001000101000011010111100101001010010100001100000100100100110110000000000010001100101011011111110100010000000100001010110100000000111000000001000000111001100000110010010100000000100000100100001001101010010000100100100001001100101101001101010001001000100010100000001000011000001100010000100000001001100000000000110000000000000000001000000001100101000010001100110000000000011010010110001001100000011001000100010000000000010110000010000011100001000110000000000110010000011100100000000100000010000000010100010001000001000001011001000110010000111100001100001000101000000000100000101010100001001000000110100010110001001100000000000000011010001000100011000100000000010110111000001010000101011100000000000110001000010011000000001100101100100000011000010000000000000010111100000000110010101001110100110100100100000100010001010001110100000010010010000010100000100110110010000100000000010001001001101000001000000001010100110101000100000101110011000000100001010010000000110000100100000110000110000000100010010000001000100000000110101001101100001100100000100100000100000111000101001011000000000110100001010000100110000101100100110000000000000100101000001000000000000010101010001000001100000010010010000100000000010000000010110010010010100000000000000000100000001000110000101010000000100010000100010000000001001111111000000000001100000100000110000111010011100000010010001000000100101001000110100100000100010001011110101000011000000000100100010011000010100001000111000001001101000001000100010000010100000100010100100010010001100111001110000110001000001010011001010001000001000110000010000110100010010000100000001000010111001001100110000000001010011010000000000001010000100100001001000000010000010000001000001010011100010001000000000000000000000001000000000100001001011010000100000000110010000100010101001001001100101000000110000000000000010100000000010100001100010011001000101001010000001010000000100000000000001010100101000100010000101000000100001110000001001010000000001110000000100000001011000000000001000101100101100001100010001001000001010000000100010010010000000001010111001001000010000001101010010100001011101001000100010100010"
Returns: 60024
"0000100000011000000100001001000011000100010010001001001001000000101100100000000110010001100000011010000000000100001110000000001011000000000100100000000001100000000000000100000000000000100100000010000000001000010000001110000001010100001001000000000000110101100000000000000010100000000000000100000010000100000000000000000011010111100000000100001000010010010010000100010010001000100010000100000100001000000000001110010000000100101001100110010000000000000010000101000000000001000000000000000000000000100000000000100100010001000000001000010000000001001000001110110010100000000000000000000001010001000001001110000110000001101011100000100000000000010101000011000010010000001001000110000000000000001000010000100000001010001100000100010100100010111010100001101000100001000000011000001101001100010000000001101010100100000001010000000000100011100000000100001110000000001000001000101100001000001000001001101000000000001001010000010010110000001000010000000000001001001000000000000000000000111000101000000100000000110001100000110101011001011000001000010000101000100000100001000001001110101010010000111110000100000000111010100110100100110001000100010110001000000000000001000000000100100100000010100000000100001010010000010101000000000011001000100000100010000011000110010000001100000000000010000110101100000000000001000101000100100010000000010010000001101000010000000000000010010010001001010001100000010010111000000100000100010010000010010000001100000000000101100000000000000000000001101000100001001101000011000000100000000100000000101000000100010100100001110001000000001001000110000000101000000010000000000010010100000100110100000001001011000001001000010010000000000010100000100011001111100111000000100100000000000000000100010000001101000001000011001000110100000000100101000001010001001010000000100110100000101011010000000000000000000000000010000010110100001000000010000001000100000001010100000001000100101000010010000001010000001000100001000001000100000000000001001001000000000100001001110000001000000001000011010010000111000000010000010010000001000001110100000000100000000011000000000101000010010010100001000011100110000010000010100000010001100010000000000000111001000000100010000000110000000001101010000100010001101000000100010010011000000000000001101010000000001011011000000010101000011100010010010001100001010000000000001010000001110100000100100000110100000000000000100000010000010000000001001000100000000101001100010011101100000000010000000011100000001100000000000010000100000011000000001000000001001000110000"
Returns: 73375
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
Returns: 3126250
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
Returns: 1563750
"1110100011110111010100111000101110111101000100010001011100100111110000010111000011101000000100000110111001000100101010101111000001011111011111100000101101111110100000110010111010001101111101000011010100000001010111101011011010011000000110111010001101011100100000001011010111000101011110100010001001001011000000000101111001001010111111000010000100011100001011000110010001110000100011100111011000101010000011011000011000111110110100001011100001110011100111101100100110110111100100110101001010111111011011100010011000110100111001001110101010000010001111100000100001110101110110111001110101000111010000100001101101001101110010011011100000000110000000100111100010111011011111110011010011010011100110010000001001001101011001001101011110001101001100110010100111110100101010100001100000010110001111000111101110010111101101111101110010101000010101100010101010011010000110011010111100001101001101101111100000001110011110100010010010011111101010011000100011101110100111111000001001011011100111101000111001010101100001001011101011001001010010000001001010001000100110010000100011101100111010011010110111101101100001111111001100010110111011101010010101110100110110100011111000101011001100000110011011010111110111101101111111111100000100011011011001110001100010011001010110100100010110000101011101100110010000001001011101100001000101001011111010011010011111001010101000111000100100100001000010001100100000011010100100010010010110101101000110000110100111100100101000100101111000110110100101011010001010010010000110000111111101100100100011010000001111110101001000010010001100011001110010101011111001011011111001000011011100011011010001011010000101110110100100010100001000110010110011100110100101010000100101100111110101000011110010000100000011011100110110000001010010001000000010010110110011000000111010100001001110101101001100100111011011000011011101010000100011111000001111110010110011110010000100001001011010111111100011101101111001101000011010000111011111111001010111101001011011110011010110011110001001101010110011100001100001000001010101100101110001011100101100001111111000011011000010010101001011000000101011110010101101100010110101100010001010000000110010001011010110100110011111011010101110101101010111101011011011000111001000010001000000001110001111101101010100111010000110001011011100010100000101001001010001110111101110100101000011000110110111010000010010011100010101110101101011101100111111001000000010101110100001110111101111110001100010011110000101001111110010010100111011101101001001110001011000100111"
Returns: 37663
"1100100000111111101010010010011010101110110110111010011111100100000000010100011011000000100101100011111000101011000111100010111010001000111111111110100000100101010101110010000101001011000011010111011010110110010001101111110100000001101100000101011001000100001110001001111001100011101111010100110010110100110110100111101111011110010010010101111100011010001000111010010110001101000011010110000001101101101001001101111010111011110000001010001110011000101100001001100010010001010110010011101110100010111100000011111000010101010011100110101011100010101010001100010111110010101111111001100000110111111010100111111000110011101001010010111100110001010110001001110010110110100011010111100110111110101111100101001010001101110101100011100001111001001011100010111010100011000101111101110110111111000010000011000101101011001110010011111001001100000011010011100100000001110111100000110000101010001110000001101011011001000111010111110011010010100111111100101111010000100001111100101001101011000011011111010100110001101011000001100010101101011011000011100001000100010010101000101101001000010000111001000001000011010101010011010001011010000001011111100010101011010110101010001111101100001101000000100111111111001100101011110001000001000110000100010111110010100100010101100010100010100011101010100001000100111010010101011011010101111001010011111100001011000101111111000001001010100000010111011000011010111100100000100101100001000010100111111000110110001100100111100101000111011001011111010000010111000010110100011100110001010001010000100100101101110000101011110011011001100111001000111001100111110001100110011111000011101101110010010001111110110001100010001101110110010111100100100101101010000111110111100111101101100110110010110100001001001010101100000100110100111100111001010101011110100010010011111011111011100111010001100011010100111111011001001110100010101000100000010001101001101010101100101010000010001111101111110111101100001100101101001010001110111010011010111001111110110110000100110011101111111101100111101000011000100110010110001110010111100010001101000101100111101010111101011000110010011100011101111111011100111110000110111011010110111000010010011010100001111110110111010100010110110110110101011110100011110101011001010010100001101001000111110100111001010100100010110101111001011100100001010100001001111000000110011001111011100110000110100110110111001011001111010101111011101110011111110100010100100001101101000001110001110101101011110100101011111101011110101101001010010101001101010010111000101100000110"
Returns: 35255
"0011000000000111100111010110111011111100000001111100110101100101011101101111000001010000100110111000100011000000101111001000111010000101001011000101101001110001001010000101110100010100110110100000000100011000001011100100110110101111010100100111000110101110110001101101111100110101111001010100011111000001010100011011110100110001111011110100111010100110001010101000011000111010100101101100111011011101111010001011111101110011011101000101010111010100011000101010110110111101000110111111101110100101110100000011010101111000111101000010010010111101010101010101001000001000011101001111010000100000000110111011011100000010001011010011000111011101100101001100000001101010111001011011111001101111001100001101101000011101111000001111011110100001000100011111011111010001011010110000001001100111010011010100111010000000110101101110010100101001001101110011101010101110100000110001110011111011101010000010001111001000011101011111101100011100100001000000101001111111110000010111001001110010111000011000101111011001110111110110110100110000111011100100111100000010001001000001100010001100100101101001011010000001000110110100000100101010011011010001000011001011000011010101100100000100000101000001110100010000110100100110111101010011110101010000100111000110010101010000101110100111010101111101000100101110110101011001010110010001001110101110111001100011011111011110100101111011101100111000101110101011100001111010001101111100100000110101010001001101011101101101101011100100101011010101011001101001111001011100001111010110010010111010111011011100000011000100111110101000000110011010110000001110100000100101100001111111011100010001111101111101111000100100100000111011000110101000000010100101110001101111001100110011001110001001011111011000001000101010011001101110001101101001110011001101111000000100010000111111111011100001001111111011010001110011101101011000110011100101010110000011100100111101111111010101111110000010010000111010110100011110111000001000011010000010110001100000001011011110001000010000110010011110111011011111011001010111100010001000111000100000111101011100101001110011111110111001110000111011101010101011000100001101110010010111101100010001011001111000001010000111010010101001011111111100100010111101111101000110001111111011000110000110000111101011010111011100110100110101011011110111010100101110111101110011101110011000110001000111000011001100101011000000010000110111010100110001101110011011010100011000001101000011010101000111100000010001101100000010000010100100011011100000101110110111111100001110"
Returns: 35216
"1011110011010110000010110001111000111010111101001010100100011101010111010101001010000011010000100001100011101000100111010111111111101101011001011100010101010111100010100000101111100110110101111100110100111000000011100101010100110010001110010011000010111001000001000001000001100111101001111011100100000000011010100011000101101111101101101000000101000000110100010000111001001110010010111101100100000100010000001011100010010001101111100100101100010001000001111001011011101011011011111001111001101000110010011111010110000100100000000001001010111100010001011011011000000100111110111011111010110100100111100111110011100001111101111110000110001100000100011100011110111000011101101110101010001010010110011101010001011111101100101100001111110110011011101011011001001000110001001000110010101001000100001001101000011111101011111100100000100101110000110011100101111100110100011101110101110100011001011011011001110010100110100100000101100001100101011011001011101111001000110010111110011100010100000101100101110101101011110100100000110110100110111010100100111111100001010001110010000010100011110110111101011110111100011010101110100010001110101011110011011001001001001110110111001100011010110000101000011001011100101100111101110000101010111101111000011101101101111000011101011011011111101010101001111001011110010101111010000010101000001110101111001110111110010110111000000110100011011100101101010101101000010010011111100100001011100000101110111000011001001110100111101010011111011111010111101110000000001010110001001010100001101101111010100110011110101101011110001110000011010111001100001100101000000101000101000010010100001101111101001011001000001010110000111001100011011111011111100101010111101110011000101101011010111001111000111010100010110101110010100110101100111100010000111101111100000111000110110110100110011100000001101010000001110101100001001001101000101111000011001001111110010010000111001100000111100011000000000100000010011110000000110010000010011010100011011011000000000111110000110111010111001100110101011001010001100111011000011001000110011001111110010010010100001010111011001110011011010000100011000101101000000101001111100001101011100100100100100011111111001101101110100100111110101000001101011000011001110001011001000110101001100000111111001101101100110010100101110000100000110000111111001010101000010000011001110001101110100000000100101111000101001010001101110100111100010100000101011100011011100011000010010101000010001100011010110111100011111111111001101010000101011110000111001111100001001011"
Returns: 36683
"1111100111010111110011110111011101111111101011011111000100111110111001111111101111111110110111010110111011111011111111000110101111111011101111110101110111111011111111001111110111111101110110001111111001100111111111110111101011110100101111110111110011010111111111101110111100010011001101011111111111101011001101111011111111110111101110101011011111011111101111111111111111110111110011101101001110110101111111110111111111000101001101111011110101010101111111110110111011111111011111011111111000100001011110110111001111111111111011011110001110111011110010110101100111101111111111011101001101100011111011111111101111110111111101101011110010111110111111110111110111111001111011111100111011101110111110110011001111111110111111111100111101110111011110111101011110111111001111111111001010100101111111111101111011110111111111011100010010110111010111111100111011110011000111110100011111111111111111111111111110111011010110111111111010110111010000111011110110100111101111000111011110111111111101110011111111010111110101101101110011111011000011011010100001011111111101011010111101111111111100011011111110101110111110101110100100111011011111010111111110111101100110001101110100011010010110111111111100111111110011111001111110010111101111111101111100110110101111011101111001111011011110001010111100111111101110011110111111010111001111111111111111010101110111111111011110001110110001011101101111111111111111111101111000010110101111111101111101111101011011011101011111111111011111010111011101001111001111110111111011110111101111001111110011101101111111011100110011110101011110110111111010111111111111110111111111110011111110011111011111111111111111011110111111110011111110101111101111110111101011111111111110001100111111111010011111111100011111111011011011110011111000111111111101111111111111111111110111110011101111111111001111000100011111111111011011001110100010111111111111110111111111011111111111111110111111100110101100111111111010101111110011101001001011111111111011111111101101011100111111101111000111110011111011111011100111110111011111111111101010101111111100111001111101100111111111000100111101111111111111100011111101011011111111011011011111111011111101110101110101110110111111111111110001101010011111110111010101111011111110111111001111111010111111100111011011111111111110101110111011111111011111111111011111101111011111111111111111111111010011111011101011101000011101001111011010111111111111110011111101011101111001110111011001011110011001111101011111011110011111101111001111111111111111111110111001100110"
Returns: 25833
"101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010"
Returns: 2881200
"1011110110011001001111100110001011000111110001111111101110100001110011001011100111010010010000001001101111110000011101100011110000111011011000011111100101111100101010100111000101011110011001101000101010010111100000010101000110000100110101001110000001111111011001001111110110101001000001110100101110101100101010011101110010110000011010110110001000001011000100101101110110010001101000010110010101000101101101011111110000011111010111111010101101000100010001011111100111111111111010100011101011100111111010101010101100100100110100011000101110001110011000110010000110001000010010111011110011110010000000101110010100100010010001011111001000011001000110010100101011111001110001001000000010101000001101111000011101111100100111011010100100001111110100100000100000111001110000111011000000110101000010011010110110110111001100101101000111000000000000100110101100001101101101100101011001101001111011010001101011011001110100001001000101000100111010010010101111101011101111100001001011111001000001111110011001111000100001110111100011110010010100010011101100111101000110011000111010000010100110101100000101000111110110001010101110110000111111011110101010011101110110000000010111010010111011110010011000100110001100100001101100100101000100101010010011101000100000111010000011011101110110010011010100111011111111100100000000110000000111100101011111111001010011101101111001011000000101110111101001011010111000010001101010001110001100000100101000010001110001111000111110000001000011010010000101000011000010011110101110000001111010111101100111000011010001010100111101000001101110000100100110101000100001000101101100000010000011101000101100001010100000000111111100101001101100000101101100010001101010001111100110111101110000101000011011001110000111101000110010011111110011100110011110100000000011001101111001111010001000100001110111001011111111111000100010100101000000110001110110101001000010000101011000010010001000100111010111000010111111011111011101000010110111111011101100001001101001001100010000110100010011001100100000100101111011100110001101000110100001001000011000101010011110010100010111100000111001100010000011010101000000000100001111000000010001001001101100111010101011001101000101110000000010101111011001001011011000010000100001100100111111000011110011100110001111100000110110110010110000011000000001011101101111111101110010110111101101010111100011000000010101101010100010110101101111010001011110001111101100001101110010001001110111001100010111001100111101110000011001000101111010001010011000111100001010001111"
Returns: 37342
"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010"
Returns: 3126250
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111"
Returns: 16800
"10010100010110010100111111111111111100001010100101001"
Returns: 422
"1011111101111111111001110100010111000100001001111110111011111111001101100111111110111010110000111110011110110111110110111011011111110100001111011101011111101010111101111011111111110111110101111111111001111110111101111011111001111111011011110101101010111111011110110111110101101011111101010111101101111111101110011111101111111011111011100111110101111111110100111110110111111111110111010110011010111111101101111101111111111111111101110111111011110111000011001011110001101111111011111111111111100111110101111110101111100010110111011101111111011111011110101011111110101101110111010010011111011111111010011101011110111111110011111010111101111101101101100111101110100110111010111111110111100010111101110011101011110011111111110111111111100100110111000111111111010101101110111111101111100111111010101111111011100011111111110111111111110011111111000011111011110011101111000111110011111011010111011111110111110101100011011101011111101110101111010101111110110011110011101100111101111111100111101000111111111100111111101101111110111111010111111111001111100110011101001111111001011101111001111110111111111011111000111101111101101101011111110001101101010011101111111101111111101111101111111101111101111111100111111001111101011101101111111110111111010111101111111111111111111111011111011111111111110111101110011111111111111111101111110010111111001110011111101111111101111111111111010100111001011110111110111011111101101111100111011111010101010101111111111111001011100011111101111111110110111011110011111111111111111111110010101110111111111111110000111011111111011111001111111010111110010011111001111110011110010111110111111101000111011111111011111111111101110011100111111101110111010111101111110111010011111110111111101111010111101110101111111000111001111111111111111111111110111011100011111111011111110111111111111111111110101111111011101111101011111101011111110101110100101011011011111001100010101011111110101101101110111110111101101111011111111001110111101111110111101100011110111101011111111111011010101110101001111110011011110111111111111010011111111011111100101111100111111111101111111011010011111111111111101111110101110000101111110111001111101111111011101000101011111110011110111111001010011011101111101011110111101101111001011111011110110101101011101011100001111110110011110111111011001111110111101011110111110001111101110110111011101111111011011111111111110111111100011101111001111110011110111111011110111010111110001111111101011001111110111111111111111010111101011110100111111101111011101111111110"
Returns: 25540
"0101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101010101101010101010101111000000000000010010011011100000000000000101000100101010101001010101001101010101010110101010101010111100000000000001001001101110000000000000010100010010101010100101010100110101010101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101010101101010101010101111000000000000010010011011100000000000000101000100101010101001010101001101010101010110101010101010111100000000000001001001101110000000000000010100010010101010100101010100110101010101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101010101101010101010101111000000000000010010011011100000000000000101000100101010101001010101001101010101010110101010101010111100000000000001001001101110000000000000010100010010101010100101010100110101010101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101010101101010101010101111000000000000010010011011100000000000000101000100101010101001010101001101010101010110101010101010111100000000000001001001101110000000000000010100010010101010100101010100110101010101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101010101101010101010101111000000000000010010011011100000000000000101000100101010101001010101001101010101010110101010101010111100000000000001001001101110000000000000010100010010101010100101010100110101010101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101010101101010101010101111000000000000010010011011100000000000000101000100101010101001010101001101010101010110101010101010111100000000000001001001101110000000000000010100010010101010100101010100110101010101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101010101101010101010101111000000000000010010011011100000000000000101000100101010101001010101001101010101010110101010101010111100000000000001001001101110000000000000010100010010101010100101010100110101010101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101010101101010101010101111000000000000010010011011100000000000000101000100101010101001010101001101010101010110101010101010111100000000000001001001101110000000000000010100010010101010100101010100110101010101011010101010101011110000000000000100100110111000000000000001010001001010101010010101010011010101"
Returns: 51409
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
Returns: 2881200
"1010011011010111110011000011101110100110000000001101110111001100010100111000110011010010011001100010000001111010101001111011111000010110101000010000000110011011100000110100001111010010001001011101001110010011111110011100001110000001101011101000011011110101100111001101010010100100101101101010010101111010110010111000110000100010110100110100010101010010010011101111001100101011011000110000000000101101000010000010110100011000101101011001010011100101010001000001010101001101101100110110111001001111010001011110111101111101001100111001010011100101100010111000111011011011000001101000100100111000001000000110100100100100110110010001111001110111101101000100100011000111100011111001010011111010001011101001110010010110110101100110000000010000101101110111001110001001000000011000011110000110101100010101001110001101010001010111010101100010001101111001101101100001111001011010001011011011011000001101110000000000110101100111011110001010101100000110101001110010100001110101111000101011010100000111111111011110111100111111110011011011001111100001011001101100011011101000001010110100110010110000001110001101110101000000100111100010111110010110110011101001101101100101101111101111011111000001110111111101101000110100101010011101100101000010000010010001011100100101001011000100011001001101100110000010111011110011010111110101011010110101101110001011110111000010010011101101000011100101000010111001111101101011101100011101100001011001110001110111101010101110010000110000001000000110101001100111010110011100111010010110011111010101000111100010110010000100111101101010011001111100000011100010111111110101111010101011101011100011010111101000111101111100011010010010100001010010110100000111001111100100010111001110101000000101110100101001011111100110010011101111101011010111010100010110000101100111001001101000101101010100011111101000011100100001010000010010001000011000000010010000001001010101001000011100001111001110000111110111010000110011010011101010110110101101101111011100101010100000001001110011111110001101000000000010101011001000110110110011101110111011100111011000100101010101100100011010000100001000101011101101010111110010110100000001100010100101101110001011011110100100110011110000100001100010101011011111001010010010101000101001001111011100001101010111101101010000110110111011011101011100101110001001100111110100000001011000011110010111010100100011100000001011110111101011001001000000100010010001001110011010101110011000100101000100001111001111101111001011000000100110101100001011111011010110010010000101"
Returns: 36076
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
Returns: 3123750
"1101100001001110110010011101111101101000101010111001000111011011110010001110001011101000101000000000010111101101111011110110000010101100100100111000001101100101011001100101000001111000100010001001001110110000011011001111100000111011010000111111000000011110110000110000010011001000111101101001010001110011110111101101101001000001110110011110111000001101010001001001111011110001001001000000101000011101011111000111100000110110011011011000000110110100000001010010100010010111111011010011111110000110000101010000001010010111111101100110110010000011100011101010000110000110101011100000110011101000001100000101011011000000001111111010010010111111111111000010110100111011101001100110110001010111100010111101010110010111010000111101000110010010101111110100110101011001101011001001010100011010111110101010010000110100110011110101010011100110010100111000100000110111000011010001010010101110011010001110001010010010111101101010101010000000010011101000001001110101001001010001110101101111010000010001111001101010011111010001010001001110010011110101011100011010011000111100011100011111111000000001111110010101111111010011111111001010101110010001011010011001100010101010110011000101010010110000000000011000001110011011111010010101101011100010011011010000010101100001001001011000011110111001000110000101111011101000111011011001100000101001001111001101110111111110101101000111001101110010111011010001001001100111010110000111001111111111010011100001001111000010010001101111111111000000010100011001011001110010011011111101110001110010111001011111110000100010100100101011001010110011111101000011101101010011110111001110011000111110101001010100001011101101111011010100001000000111000111110010011010111101111011000100101111100010011011000010100110111001001011010001100101010101000001110111011010100011000101010011000010110110011101000011111010110000000111001110000010011010100001001011011110010100100110110010000010011101110000000010110101010001001100001010011001000000001100101010010111011010001101111101111101111111001001011010101101000011100101000001001000011100110000001101001110110010000110100001001111001011100111010000010010100000111010011010000011000101001100110101111110101100100111110011111001000010100010101010010010011001111011101000110000100010110010000010011000001110000111101001010111000110110111100001111010011111110011100110110110110110010100111100101010101111001001000001001010001000100001000111010100110101000100010110111011010100111001010101110110111001011111000100110011011010001011000101000011110100"
Returns: 36521
"001100101100011000001000111100100111110010101100011101101011010100010010101010101111111000100111011000111010011111110101101111000111001111100010100001110010100000101101001000000010010000100111001100100100101110100011000101000011110111011001110001000001010011111101011110100110010100000011110101110110111000101111100000000101001010010010100001110110110001001111110110011100101110111110111010110001001000010001010000010011001000110101101100011000011000100110000101100111111000001101110100011100100100101001110011000101001001000101111011111111010100110010010001110011111101010001100111101101100101010000000100001000110110011101010011011111000111000010111000111001110001000001000110111101100001111101001001011110011110111101011000011101001111000000100011011000101010001011100000111100001000100110100101110110001000100011000011010100111101111110101101100101101101111011001111010100111101110011111110011010001010000101101011000100000001111111101110111000110111100001001100101100001110101010101010110111101010011101011110100000100111101101100111111000101111000100111110100111100000010001000110001001101000110101011101011001100001101000111110001011011001010110100001110110000011101111000001000000000011011010011010111001011111011101111101010011110010111011010000010010011101001111001101001111110000010010110101000110110000111001101011111010100101001111011111111101010000101111110111110001010111111011000111100101110101111100100101110100111110101001111011010101011000000110110001100011001111001111001000101011011011111011010101110111110011011001001001100010100011111101001000100100110011010111110010001011110001001100000011111010010010010000110111111111010101001101011101111101000010101111110001011101010100101100111100100101010101011001010101000111011100101010111101100111110011100111010010010100101000000111000110010011111011100101000100001100000100011110101001001010100110000010111111001100001100111110000010000011000000010001001011111111111010101010101011111111101011101111110000100100000110111111000101001011110011101101111011110110000100000101110000110100101001010001110101011111011111011110000100110110000000100110000001110100111000010011010110110101000111001001100101111110000111110101111100101100010010000001000000010001001110110110011011010000100000001001111011111011001010110110001100000000000010101110111110101010010001001100100111100001110100101101001101001010000100011101011010110101110101111010"
Returns: 33759
"0110001010010001110011011000110110001111001101010101101111101110101000111001101111011111110110101011010100000111101011110000100101101100101000111001000101100001011000101000000010101010111100111011000101010111111001011101110011101011111011001010001101010100010110111010000101011001101011101100001001101110110011110010000010110000100011000100011010011100101000010001000001101011010000011100000110100001000011000000100000101001111111101010010010111000001111011111100001001111100011101111001101001101000000100000000011101101000100101001110011011010011010110001000110110110111100111101010000110010110011100101111001100000100111010001001011100100111101010011100011100001000110000010101001011111000110101000100010101010110101110111100011001101101001011111110111010110110011110001001111000000000010101101001110010000111011010010001100011001110111000000000100111010011001100000001100110000110111100111111100000001001110100000101000010100110011001100111111001011000101010010010011100110011111100010001100011011100010111011111000111100111001110110100010011111001010000001011110000010101000101001011100100010011011011000011010110111110001101010111000010000011011110000111101010111110010000101011100000001100101010010010001011110111010010111101000011111110111100100111101111010001100101001110000011111000010011110111110101110111110101110100010010111010101100101111100110100110000100111011110011010111010011101101000110111110101011101110011010001110010101010101011111101110110111001111011010111110000111000100000000011001000001110110100001110000000110001111010000000101110111010001111110101011100001010111111100110111111011000100001011010011000110010010100001001011100100110001101101010100110101010011110110111101110011000011010111110000010010100001011010101111110100000100101110111101000100100100111001110101000001000111001010010110010110001010110011110110100101101001000011010110111111000111100100011111011010011100001111111001000011101100110100000110011101100011001011011000100000100101111101101110011110100100001101110001000100111001001011000010111010000100111111110111011010110000110011101011101110011111110111110110010001100111011101111011010101010011100100111010000000110111000010010000000100100011011010110101110010001110001110010111101110011011110110011110011111000011011011011101001110011100010111100100101111101001101001001010001111101110011110001111001110000100101101111011100000010100000111101110100101111010101000100001110110010110010110000001110000110101100010001000100010110000001011011111011001011"
Returns: 35263
"0000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100000000000000000000000000"
Returns: 3126250
"1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001100100100100010010111101000"
Returns: 480804
"11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
Returns: 1251000