TopCoder Statistics - Problem Statement

Problem Statement

Hero is the coach of a team of his friends who play a strategic team game.
In the game there are n strategies a team can play. Each of Hero's players can only play some subset of those strategies well. For each player the subset of strategies they can play well is different from the others.
A set of strategies can be encoded into an n-bit number: If we number the strategies 0 through n-1, the code of a set of strategies will be the number that has, in base 2, ones on positions that correspond to the strategies in the set.
For example, the set {0,3,4} is encoded as the number 11001 in base 2. (Bits 0, 3, and 4 are ones and the remaining bits of this number are zeros.) The value of this number in base 10 is 2^4 + 2^3 + 2^0 = 25.
You are given the int n and the int[] friends. Each element of friends encodes the set of strategies one of the players on Hero's team can play well.
Finally, you are given an int k. Hero needs to choose exactly k of his players to form a squad that will take part in the next match.
The strength of a squad is calculated as follows: For each strategy, compute the square of the number of players on the squad that play that strategy well. The strength of the squad is the sum of all those squares.
Compute and return the largest possible strength of a k-player squad.

Definition

Class:: SquadConstructor2
Method:: teamget
Parameters:: int, int, int[]
Returns:: int
Method signature:: int teamget(int n, int k, int[] friends)
(be sure your method is public)

Constraints

n will be between 3 and 8, inclusive.
k will be between 2 and 8, inclusive.
friends will contain between k and 2^n elements, inclusive.
Each element in friends will be between 0 and 2^n-1, inclusive.
All elements in friends will be distinct.

Examples

3

4

{0,1,2,3}

Returns: 8

As there are only four players and Hero needs a four-player squad, he has to select all four players. Two of them can play strategy 0 well, two of them can play strategy 1 well, and nobody can play strategy 2 well. Thus, the total strength of this squad is 2^2 + 2^2 + 0^2 = 8.
3

4

{0,1,2,3,5}

Returns: 14

Select everyone except for the player who cannot play any strategy well. This produces a squad with the strength 3^2 + 2^2 + 1^2 = 14.
8

4

{0,1,2,3,7}

Returns: 19
8

4

{3,4,7,8,9,10,11,15,16,17,18,19,20,21,23,26,27,28,29,33,35,37,41,42,43,45,47,48,49,53,54,55,56,57,58,60,61,62,64,66,67,68,72,74,75,78,80,81,82,83,87,89,90,91,93,94,95,98,99,100,101,103,105,108,111,112,113,115,118,119,121,122,123,125,127,128,129,130,131,137,143,144,147,148,151,152,155,156,160,163,167,169,171,172,173,178,179,180,182,186,188,190,192,193,194,195,196,198,199,204,207,208,212,213,215,217,219,220,221,225,228,231,233,237,240,243,244,245,246,247,249,251,252,254}

Returns: 100
3

5

{0,1,2,3,5}

Returns: 14
6

6

{0,2,3,4,5,7,8,9,14,15,18,19,20,21,23,24,25,29,32,36,37,39,45,46,47,48,49,51,53,54,55,57,59,60,62}

Returns: 138
7

5

{1,2,9,11,12,13,15,19,20,21,23,24,25,26,27,28,34,35,37,38,41,43,44,45,46,47,48,49,54,55,56,57,58,59,62,63,65,68,69,73,74,78,81,83,84,88,89,95,98,103,108,109,112,116,120,121,124,127}

Returns: 127
7

8

{0,2,3,4,5,6,7,9,10,13,15,17,18,20,21,22,23,31,33,34,35,36,38,42,43,45,46,47,49,50,51,52,57,58,59,61,63,66,68,69,70,74,75,78,79,83,84,85,89,91,94,95,96,99,100,106,107,108,109,110,111,113,114,116,117,118,119,121,124,126,127}

Returns: 323
4

5

{0,2,3,4,7,8,9,10,11,14}

Returns: 47
8

8

{0,3,7,9,10,12,13,14,17,18,19,22,23,26,27,28,29,30,31,37,40,42,46,47,49,51,53,54,55,56,59,60,61,67,69,70,71,74,75,76,77,79,81,82,83,84,86,88,90,91,92,93,94,95,96,99,100,101,102,104,106,109,111,112,114,115,116,117,118,119,121,122,123,126,128,130,133,136,137,138,139,140,141,142,143,145,146,147,148,149,151,152,154,158,159,160,164,165,167,169,172,174,175,178,179,181,182,183,184,185,187,189,190,191,194,195,196,197,199,200,202,203,205,206,208,209,212,213,215,216,217,218,219,220,222,224,225,226,227,228,229,230,231,233,235,237,238,239,240,241,243,244,247,248,249,250,253,255}

Returns: 380
8

6

{2,8,9,19,28,31,32,37,38,40,49,52,63,65,69,83,87,93,140,161,167,168,172,176,178,186,189,191,195,205,208,209,218,219,220,222,227,238,247}

Returns: 186
8

6

{0,2,3,4,6,9,10,11,12,13,14,18,20,22,23,25,27,29,30,32,33,36,37,38,44,45,49,51,52,54,56,57,60,66,68,72,74,76,77,78,81,85,90,91,92,93,94,97,98,104,105,106,107,108,112,113,114,115,116,117,118,120,122,123,125,126,127,130,133,135,139,140,144,149,150,152,154,155,157,158,160,161,166,167,169,170,171,172,175,176,177,178,180,181,184,186,188,190,191,193,194,195,197,199,200,201,202,205,206,208,210,213,219,221,223,226,229,231,235,238,240,241,245,246,251,253}

Returns: 215
4

5

{0,5,6,7,9,10,11,12,14,15}

Returns: 59
8

8

{3,5,6,7,8,9,12,14,15,16,20,24,25,28,30,46,49,51,52,53,54,55,57,58,59,60,61,65,66,70,71,72,76,78,79,80,83,84,88,90,91,92,93,96,99,100,106,109,110,112,113,114,116,118,119,120,123,126,130,133,134,135,136,138,141,142,143,144,149,151,153,155,158,160,161,162,163,164,169,170,171,173,175,176,178,180,182,183,184,187,188,190,191,194,197,201,202,204,206,207,209,210,211,215,220,221,228,229,239,240,241,243,244,245,246,251,253,254,255}

Returns: 387
8

7

{0,2,3,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,33,34,35,38,40,43,44,45,49,50,51,53,54,56,57,59,61,66,70,71,74,75,76,77,79,80,82,83,86,89,90,91,93,94,97,101,103,106,107,109,110,111,112,115,116,117,122,124,126,127,128,129,130,132,133,134,135,136,137,138,139,142,144,145,146,148,149,150,151,152,153,154,159,160,161,163,164,165,166,167,170,171,174,175,177,179,183,184,185,186,188,189,190,192,193,196,197,198,199,200,201,202,203,204,205,206,208,209,213,214,215,222,224,225,226,227,228,229,230,232,233,234,237,238,239,241,242,244,245,246,247,249,250,252,254}

Returns: 280
8

6

{2,10,13,16,36,54,72,87,89,90,94,98,105,106,107,122,124,139,143,159,178,179,182,184,192,222,225,231,232,234,236,246,249}

Returns: 161
8

8

{0,2,4,5,10,11,13,14,15,19,30,31,33,36,39,42,45,46,50,51,52,54,58,60,63,64,67,68,69,70,72,73,75,77,78,82,83,85,86,87,90,91,94,95,98,99,100,101,102,103,105,107,109,110,113,114,116,117,118,119,120,121,123,125,126,127,133,135,136,137,138,140,141,143,144,147,150,152,153,156,158,159,161,162,168,169,170,172,173,176,177,178,180,183,184,185,186,187,188,189,190,191,192,193,198,199,200,201,203,205,206,208,211,212,213,215,217,219,221,223,226,227,228,230,232,235,238,240,241,244,248,249,252,254}

Returns: 358
6

4

{1,2,3,4,9,13,15,17,18,19,21,23,25,27,28,29,37,38,39,44,45,46,47,49,50,51,55,56,59}

Returns: 65
7

8

{3,4,5,6,15,20,24,27,30,32,34,37,38,39,44,46,47,48,49,50,51,52,62,64,75,76,81,82,83,85,87,89,91,95,97,98,101,106,116,124,127}

Returns: 262
8

8

{0,9,16,25,31,32,49,58,62,63,65,66,68,70,72,80,104,109,114,121,125,128,141,144,145,149,150,152,162,165,168,174,175,179,180,186,187,198,208,210,211,215,218,220}

Returns: 276
6

8

{2,3,4,7,9,11,13,19,25,27,31,33,34,36,41,44,48,51,52,56,59,60,61,63}

Returns: 228
7

7

{0,3,8,9,11,13,18,22,34,35,37,38,47,52,55,59,60,63,67,68,74,76,80,85,87,93,94,95,97,99,100,102,104,108,109,113,114,117,127}

Returns: 229
7

7

{0,2,5,7,8,9,11,12,13,14,16,20,21,22,23,24,26,27,30,33,37,38,40,41,45,46,47,48,49,51,52,53,54,56,60,64,65,67,68,71,72,74,75,77,78,79,80,82,83,84,85,88,92,93,94,97,98,99,101,103,104,105,106,108,111,112,114,115,116,117,118,119,120,124,126,127}

Returns: 242
6

6

{2,3,7,8,10,11,12,13,14,15,16,17,23,24,25,26,28,29,30,32,33,34,37,38,39,41,43,46,47,48,49,50,53,55,57,59,60,62,63}

Returns: 154
8

7

{7,9,10,13,14,16,17,18,19,21,23,26,27,32,33,35,36,38,41,42,46,49,52,54,55,59,60,61,65,69,70,72,73,74,78,79,81,82,83,85,86,88,89,90,92,93,95,96,97,99,102,104,108,109,116,118,119,122,124,125,127,128,129,134,135,136,137,140,145,146,148,149,150,153,154,156,158,159,160,163,164,168,169,175,176,179,180,182,186,188,189,190,192,194,195,196,203,207,208,211,214,215,216,217,218,221,223,224,227,228,230,233,234,235,237,239,240,242,244,249}

Returns: 273
8

7

{0,2,4,5,6,7,8,11,12,15,16,18,20,21,22,23,24,28,29,30,35,36,37,38,39,40,41,42,43,47,48,50,51,54,55,57,58,59,61,63,64,65,66,67,68,70,71,72,74,75,76,77,78,79,80,82,86,87,90,94,95,97,100,101,102,103,106,109,111,112,113,117,118,121,123,124,125,132,133,134,136,137,138,139,140,141,143,144,146,147,148,149,150,152,154,155,156,158,160,161,163,164,165,168,169,170,171,172,173,176,177,178,180,182,183,187,188,189,190,192,196,197,201,202,203,205,207,214,215,218,219,221,222,223,224,225,228,229,232,233,236,237,239,240,242,244,245,248,249,250,252,253,254}

Returns: 280
8

7

{0,1,3,5,8,9,10,13,14,20,23,24,25,26,27,28,32,35,37,40,42,45,46,50,51,53,54,57,58,59,63,64,65,66,70,72,74,76,78,79,80,81,83,85,87,89,90,93,95,97,98,103,106,107,112,114,115,116,117,118,120,123,129,131,132,133,135,136,137,138,139,142,143,145,146,147,150,151,153,158,160,161,162,163,165,166,167,168,171,174,176,179,180,182,184,187,189,191,192,193,194,195,197,200,202,204,205,206,210,211,215,218,219,223,226,229,230,231,232,235,236,241,244,245,246,248,251,254}

Returns: 278
8

6

{0,2,7,8,9,10,11,13,14,17,18,26,31,32,35,39,44,46,48,49,53,55,59,60,61,67,69,70,72,73,74,76,78,79,82,84,86,88,89,90,91,92,95,96,97,99,100,102,103,110,112,115,117,118,121,122,123,124,126,130,131,132,137,140,141,142,144,146,149,150,152,154,156,157,158,160,161,162,164,166,167,169,171,173,174,175,176,177,178,181,184,187,190,192,195,199,202,204,205,206,208,212,213,217,219,221,223,225,226,227,228,229,233,236,237,238,239,243,244,248,249,250,253,255}

Returns: 221
8

6

{3,4,7,8,9,12,18,20,25,32,37,39,41,47,51,53,57,58,60,68,69,71,72,80,82,88,92,95,98,99,108,109,118,120,121,128,129,130,131,137,138,139,146,150,156,157,164,166,169,172,175,178,184,185,186,190,191,192,193,197,201,202,203,205,208,213,218,219,220,221,222,225,227,229,230,233,237,241,242,244,248}

Returns: 183
8

7

{3,5,7,9,11,12,13,14,16,17,18,19,20,22,24,28,29,30,31,32,36,37,38,39,40,43,45,46,47,52,53,54,56,57,58,59,60,61,63,65,66,67,68,69,70,71,73,74,75,76,78,80,81,84,87,93,94,95,96,97,99,100,101,102,104,113,115,116,117,122,124,125,126,127,130,131,132,133,134,135,136,139,140,141,143,147,149,150,152,154,155,157,158,159,160,161,163,165,167,171,173,175,176,177,180,183,185,189,193,194,195,196,199,200,201,203,204,206,208,209,216,219,221,222,229,230,234,235,237,239,241,242,243,247,249,251,254}

Returns: 285
8

6

{0,2,3,4,6,9,10,11,12,13,14,17,18,20,22,23,24,25,27,29,30,31,32,33,36,37,38,41,44,45,46,49,51,52,54,56,57,58,60,66,68,70,72,74,76,77,78,81,85,90,91,92,93,94,97,98,102,104,106,107,108,112,114,115,116,117,118,120,122,123,125,126,127,128,130,133,135,139,140,142,144,147,150,154,155,157,158,159,160,161,163,164,166,167,169,170,171,172,175,176,177,178,179,180,181,184,185,186,188,190,191,192,193,194,195,197,199,200,202,205,206,207,208,209,210,214,219,221,223,225,226,227,229,234,235,236,240,241,245,246,251,254}

Returns: 215
8

8

{4,9,26,28,32,38,46,51,52,55,65,72,76,89,92,102,110,115,117,124,129,131,166,171,187,193,194,218,229,246}

Returns: 240
8

5

{0,3,4,5,6,7,12,14,15,16,20,23,24,26,28,30,31,32,33,34,35,36,41,43,44,49,50,54,57,58,60,61,62,63,64,65,67,71,72,73,77,80,85,87,89,94,98,100,101,105,107,110,111,112,116,117,118,119,120,121,123,125,126,127,131,134,135,137,138,139,142,144,145,150,154,155,166,168,173,177,180,183,184,185,186,188,189,190,191,192,197,198,200,201,203,204,206,209,210,211,217,222,224,225,227,229,232,233,234,237,238,239,244,245,246,248,249,255}

Returns: 159
8

8

{4,6,10,11,12,16,24,34,45,46,47,51,53,54,56,57,58,64,67,74,79,80,81,84,85,86,87,93,96,98,100,101,102,104,107,110,113,114,119,121,126,131,133,135,139,140,143,145,153,154,155,156,157,159,163,165,171,173,175,178,181,182,183,185,187,188,191,195,196,199,203,214,215,216,217,221,223,224,229,233,238,239,241,242,248,254,255}

Returns: 378
8

7

{0,2,4,10,11,13,15,19,30,31,33,36,39,42,45,46,50,51,52,54,58,63,64,67,68,69,70,72,73,75,77,78,82,83,85,86,87,90,91,94,98,99,100,101,102,103,107,109,110,113,114,116,117,119,120,121,123,125,126,133,135,136,137,138,140,141,143,144,147,150,152,153,156,158,159,161,162,168,169,170,172,173,177,178,180,183,184,185,186,187,188,189,190,191,192,193,198,199,200,201,203,205,208,211,212,213,215,217,219,221,223,226,227,228,230,232,235,238,240,241,244,249,252,254}

Returns: 273
8

8

{1,2,3,5,6,8,9,10,11,12,13,15,16,17,20,21,23,24,26,28,29,30,31,32,33,36,40,42,44,45,46,47,48,49,50,51,52,54,55,57,58,60,61,64,65,67,68,69,70,71,72,73,74,75,76,77,78,82,86,87,88,92,93,94,95,96,97,98,99,101,102,105,107,108,110,111,112,115,116,118,119,125,126,128,131,133,134,135,136,138,140,143,145,146,150,151,152,154,156,157,160,161,162,163,164,165,166,169,171,172,173,175,176,177,178,179,181,184,185,186,187,190,192,194,195,196,197,198,200,201,203,205,206,207,208,209,210,213,214,215,218,219,221,223,224,225,227,228,230,231,232,233,234,235,237,241,242,243,244,245,246,247,248,250,251,252,254,255}

Returns: 380
8

8

{2,3,5,6,8,10,11,13,15,16,17,18,21,25,29,31,33,36,37,39,40,43,45,46,50,51,53,54,55,59,61,64,67,75,78,80,81,82,83,84,87,92,93,94,96,97,100,101,102,106,107,110,112,113,116,118,120,122,126,129,130,133,135,140,141,142,143,144,145,149,151,153,154,155,156,158,160,161,162,164,166,167,173,175,178,179,180,183,184,186,187,188,189,190,191,192,196,199,205,209,211,215,217,218,224,226,227,228,230,232,233,234,239,240,243,246,247,248,251,252,253}

Returns: 365
8

7

{2,9,20,25,29,31,32,36,37,47,55,62,67,80,84,95,108,129,133,138,139,141,151,163,168,180,188,199,202,208,213,219,229,230,231,238}

Returns: 211
8

6

{2,6,11,13,14,21,25,32,33,44,45,48,51,53,55,58,61,64,72,76,79,94,96,99,105,109,111,113,116,121,126,128,129,138,142,143,147,150,152,153,158,159,160,162,164,175,177,178,181,183,185,187,190,191,194,198,199,204,206,209,211,212,216,217,222,224,225,232,234,239,245,251,252,254}

Returns: 210
8

6

{1,2,3,5,6,9,14,17,18,20,21,24,26,29,31,32,34,35,37,38,42,43,44,52,54,56,58,60,62,63,66,67,68,70,76,78,81,82,85,88,90,92,93,94,95,98,99,100,101,102,106,107,109,110,111,113,116,118,120,121,122,124,125,126,130,136,139,140,143,145,146,147,150,151,157,158,159,160,166,167,168,171,172,174,178,179,181,182,186,187,189,190,192,193,198,199,200,201,202,203,206,208,210,212,214,215,216,217,219,221,224,225,227,228,229,230,232,234,236,237,238,239,241,242,243,244,245,247,248,249,250,251,252,254,255}

Returns: 226
8

8

{0,1,2,3,5,10,12,15,16,18,21,22,25,27,28,29,33,35,39,42,47,49,51,52,53,55,57,60,62,77,78,79,80,82,83,85,86,89,90,91,92,94,96,97,100,104,105,106,108,109,110,112,113,115,117,118,121,122,126,127,129,131,135,136,137,141,142,148,150,151,158,159,160,161,166,167,168,171,173,175,179,180,182,184,185,188,190,191,192,194,195,198,203,205,208,209,210,215,219,222,225,226,227,228,229,230,232,237,238,240,242,243,244,246,247,248,249,254}

Returns: 358
8

6

{1,3,4,5,7,9,10,11,16,18,20,23,28,31,32,35,37,39,45,46,48,49,54,58,60,62,67,68,69,70,72,74,75,76,77,78,79,80,82,83,85,87,89,91,93,95,96,98,99,101,102,104,106,109,112,114,115,117,119,122,123,126,127,129,130,131,132,138,140,144,148,149,156,157,160,170,172,177,178,181,182,184,185,186,188,190,192,194,196,202,203,205,207,210,212,213,215,216,217,220,224,225,226,231,232,233,234,237,238,240,241,245}

Returns: 191
8

8

{0,3,4,9,10,11,13,17,18,20,22,23,27,30,31,34,35,44,49,59,68,70,77,82,83,84,91,94,102,106,112,113,118,121,123,127,131,137,139,141,144,154,157,173,174,191,199,203,204,206,209,213,222,226}

Returns: 298
8

5

{0,1,2,3,5,6,7,9,10,13,16,17,20,22,23,25,27,28,30,33,38,39,42,43,46,47,48,51,52,53,55,56,60,62,66,67,68,69,70,72,73,75,77,82,86,88,89,90,91,93,94,97,103,105,106,107,109,110,112,114,115,116,117,118,119,120,122,127,128,130,131,133,134,135,139,140,141,145,149,150,151,152,153,154,155,158,161,164,166,168,169,170,171,175,180,181,182,183,185,186,187,188,189,192,194,195,197,199,200,202,206,207,209,210,212,213,214,217,218,220,223,224,225,227,229,230,235,237,239,242,243,244,246,248,249,250}

Returns: 145
8

7

{1,3,7,9,13,14,18,19,20,21,24,25,27,28,29,32,33,34,36,38,40,44,48,50,51,56,58,60,63,64,68,72,73,75,77,79,80,81,82,85,91,92,93,94,95,97,99,102,103,104,108,109,111,113,114,115,118,119,120,121,122,123,127,131,132,133,135,136,138,139,144,145,151,152,154,157,158,160,161,164,168,170,171,172,173,174,176,177,179,180,182,183,184,186,188,189,190,191,192,195,198,199,202,204,206,207,208,211,213,214,215,217,218,221,223,224,225,227,229,231,232,233,235,236,240,241,242,243,247,248,250,252,254,255}

Returns: 305
8

7

{1,4,5,7,8,10,11,12,13,14,20,21,22,23,26,27,28,30,31,32,33,34,35,38,40,42,43,44,45,46,50,51,52,54,55,56,57,61,62,63,65,67,68,69,70,71,72,74,77,78,79,81,82,83,84,87,89,94,96,97,99,100,101,105,106,109,111,112,113,117,123,126,130,134,135,136,137,138,141,143,144,145,147,153,154,155,159,160,163,165,166,168,170,171,180,182,188,190,191,192,193,194,195,199,200,201,204,207,208,211,212,213,215,217,218,219,220,222,225,226,227,228,229,230,231,233,235,236,239,241,242,243,244,245,248,251,253}

Returns: 276
8

6

{1,7,19,22,24,28,30,39,50,59,66,69,76,82,83,93,94,96,97,99,100,103,105,108,110,113,115,119,123,126,127,128,130,135,141,145,153,155,160,164,168,170,172,178,180,181,183,184,204,206,219,221,236,240,244}

Returns: 184
8

6

{0,1,2,3,4,5,7,10,12,14,18,19,24,27,30,32,33,36,37,38,39,41,42,43,44,45,46,47,48,49,50,56,58,60,63,66,72,74,76,77,79,80,87,88,90,94,97,98,103,106,109,112,113,114,116,117,118,124,129,131,134,135,136,145,146,147,150,151,154,155,158,159,164,166,168,169,172,173,175,176,178,179,180,181,182,183,187,189,190,191,193,197,199,201,206,209,213,214,215,216,217,218,221,223,224,227,230,231,232,234,237,239,240,242,245,246,254}

Returns: 210
8

6

{2,6,12,14,34,58,65,67,69,90,97,99,101,106,108,136,137,143,146,153,169,211,216,228,239,242}

Returns: 126
8

6

{0,2,3,4,5,10,11,12,13,16,17,24,26,27,29,30,31,33,36,38,42,43,46,47,48,49,52,53,54,55,56,57,58,61,62,63,66,75,77,78,79,80,86,89,90,91,92,93,96,98,99,100,103,106,107,110,112,113,114,116,118,126,128,130,133,134,136,141,145,146,147,149,151,154,158,159,160,169,171,173,174,177,179,182,183,186,187,189,190,191,192,194,195,196,198,201,203,205,206,211,217,218,221,222,224,227,228,229,230,231,235,237,238,239,241,242,246,247,251,252,254}

Returns: 215
8

7

{0,1,5,6,7,9,10,11,12,13,14,17,18,19,20,23,25,26,31,34,37,38,39,41,43,45,46,47,48,49,52,54,56,57,59,60,61,65,67,69,73,76,77,78,79,80,81,83,84,86,87,89,90,91,92,94,95,96,97,98,100,104,107,110,112,114,115,120,121,125,126,129,131,135,136,138,139,142,145,146,147,148,150,151,153,155,156,157,158,159,160,161,162,163,166,167,170,172,173,174,178,179,182,184,185,187,188,192,193,194,195,197,199,200,204,205,206,207,209,211,212,214,216,218,219,220,221,224,225,226,227,228,229,230,231,232,233,235,238,239,240,241,242,243,244,245,247,248,249,250,251,252,255}

Returns: 293
8

6

{5,8,9,11,13,20,21,25,26,39,40,64,67,70,79,81,82,85,93,94,97,99,100,107,112,116,120,121,126,135,142,147,148,149,152,153,154,157,159,170,177,178,187,189,193,194,195,197,202,203,206,209,217,221,226,228,230,231,233,234,237,242,249,250}

Returns: 178
8

6

{3,4,5,7,11,12,14,20,24,29,31,32,33,36,40,44,45,46,47,48,49,51,54,55,57,59,61,62,66,75,76,79,80,82,83,84,90,94,95,97,98,101,102,103,104,107,108,109,110,112,114,115,116,119,121,123,127,129,130,133,134,135,136,138,140,141,142,144,146,147,148,154,155,159,160,161,162,166,168,170,174,175,176,180,195,196,197,199,203,204,206,209,210,211,212,213,222,224,226,227,232,233,235,237,238,242,245,246,249,250,251,253,255}

Returns: 221
8

8

{4,10,11,13,14,16,17,19,21,24,29,33,34,38,40,41,42,44,46,53,59,60,65,67,68,69,71,75,77,78,89,90,92,93,94,100,102,105,106,113,116,117,121,127,128,129,131,132,133,134,142,144,147,149,153,158,160,169,174,175,177,178,182,187,188,189,190,191,192,196,197,211,212,216,219,220,221,224,230,233,235,237,239,240,247,254}

Returns: 363
8

7

{0,2,3,6,7,8,9,12,14,15,17,21,22,25,26,27,31,32,33,36,38,39,40,41,42,44,45,46,51,52,58,59,61,62,65,66,68,69,70,73,74,75,76,77,78,81,82,89,90,91,92,93,94,96,98,100,102,103,104,105,106,107,108,109,111,112,115,116,117,119,121,122,123,124,125,126,127,128,130,132,134,135,136,138,139,141,143,145,146,148,149,150,152,153,154,155,157,160,165,166,168,169,170,173,175,176,177,182,183,184,187,189,190,192,193,195,198,201,202,204,205,208,209,210,211,212,216,217,218,221,222,226,228,229,230,231,234,235,236,237,238,239,242,244,245,248,251,253,255}

Returns: 298
8

8

{2,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,25,26,27,28,29,32,34,35,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,63,64,65,67,68,69,70,71,73,74,75,77,79,80,81,82,84,85,86,88,90,91,92,93,94,96,100,102,103,104,105,106,107,108,109,110,111,114,116,117,118,119,120,121,123,126,127,128,131,133,135,139,140,141,142,144,145,149,152,153,154,155,156,159,161,163,164,166,170,171,172,177,178,180,181,182,183,185,186,187,188,189,190,191,193,195,197,199,200,204,207,209,210,211,212,213,214,216,217,219,220,221,222,223,225,226,228,229,230,231,232,235,237,238,241,242,245,246,247,250,251,252,254,255}

Returns: 396
7

8

{4,5,6,9,15,23,28,31,35,43,46,51,53,55,56,57,58,61,65,66,68,72,79,80,82,83,88,90,91,94,101,102,115,122,123,124}

Returns: 254
8

8

{1,2,4,5,6,7,8,9,13,14,16,17,18,19,21,22,25,27,29,30,31,32,33,39,40,42,43,46,47,50,51,53,54,55,56,57,58,59,62,63,64,66,67,68,70,71,73,76,78,81,83,85,89,90,91,92,93,97,100,103,104,107,109,110,113,114,116,117,119,121,122}

Returns: 276
7

8

{2,5,6,8,10,14,15,16,20,21,25,26,28,31,33,36,38,42,45,46,47,49,51,52,54,56,57,58,59,62,64,65,66,70,73,75,78,79,80,82,85,86,87,89,90,93,96,99,100,101,103,104,108,110,111,112,115,117,121,123,124,126}

Returns: 281
7

8

{0,2,10,12,14,15,17,24,31,33,34,40,41,42,44,57,58,59,60,65,67,69,71,78,79,82,91,92,94,97,98,102,103,104,108,110,111,112,115,120,124}

Returns: 254
7

8

{1,2,5,7,9,14,15,16,17,19,21,23,26,28,29,31,32,34,35,37,38,40,46,48,49,51,55,57,60,61,63,66,67,68,70,71,72,73,75,76,78,83,84,85,86,87,89,91,92,94,95,99,100,105,106,108,109,111,112,116,117,120,122}

Returns: 281
7

8

{0,1,2,4,6,7,8,10,14,15,16,17,20,23,25,26,27,29,31,34,35,37,40,45,48,51,52,54,60,61,62,63,64,65,71,73,76,77,78,80,81,82,84,85,86,87,92,96,98,99,102,103,104,105,107,108,109,113,114,115,118,119,121}

Returns: 268
7

8

{0,8,13,14,17,19,20,23,35,37,38,48,52,54,56,59,60,62,65,69,74,75,76,78,86,90,91,92,93,94,95,96,99,106,107,108,115,116,118,123,126}

Returns: 281
7

8

{1,9,10,12,13,15,16,17,18,21,22,26,29,31,32,33,37,38,39,40,49,52,55,59,60,62,65,66,69,70,72,73,74,78,79,83,84,86,87,89,92,94,95,103,105,107,126}

Returns: 272
7

8

{0,2,3,5,6,7,8,9,12,13,14,15,16,18,19,21,23,24,26,28,29,30,33,34,35,36,37,38,39,40,42,44,48,49,50,55,57,60,61,62,64,65,67,68,69,70,73,75,77,78,79,80,81,82,83,85,86,88,89,90,91,92,96,98,99,100,101,102,103,107,109,110,111,112,113,114,115,116,117,119,121}

Returns: 276
7

8

{0,1,3,4,6,7,8,9,10,12,15,16,17,18,20,22,23,24,25,26,29,31,33,34,35,37,39,41,42,46,47,48,50,51,53,54,55,58,60,61,62,63,66,67,68,69,70,71,72,73,75,77,78,81,83,84,85,86,89,90,91,92,93,99,102,103,104,105,106,107,110,112,113,115,116,118,119,121,122}

Returns: 276
7

8

{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,30,31,32,36,40,41,42,43,44,45,47,49,51,52,53,54,56,59,60,63,64,65,68,69,70,71,75,76,77,78,79,80,84,85,86,87,89,90,92,94,97,99,101,102,104,107,109,112,113,114,115,116,120,122,124}

Returns: 256
7

8

{0,1,2,4,5,8,12,14,15,16,19,20,21,24,26,29,31,32,33,36,37,38,39,40,42,43,44,45,46,48,49,51,52,55,56,57,59,60,61,62,64,70,71,72,73,74,75,77,78,79,80,85,86,88,89,90,91,92,94,95,96,97,98,99,100,101,103,104,106,109,110,111,112,114,115,116,117,118,121,122,127}

Returns: 296
7

8

{1,3,4,13,14,26,28,32,38,40,42,43,44,47,48,49,55,57,66,68,72,78,79,80,83,87,89,93,97,99,100,102,104,106,107,111,112,115,120,123,127}

Returns: 290
7

8

{0,1,3,6,8,9,10,11,13,14,16,21,22,23,25,26,27,30,31,32,33,34,35,36,37,38,40,42,43,44,45,48,49,50,51,52,54,56,57,58,59,61,63,64,66,68,71,72,74,75,76,77,81,82,84,85,86,87,90,91,94,95,96,97,99,100,101,104,105,108,109,110,113,115,117,118,120,121,124,127}

Returns: 296
7

8

{3,4,6,10,12,14,15,16,21,25,27,29,30,31,34,36,37,38,41,43,44,46,47,48,49,51,53,55,56,62,63,67,68,72,73,76,77,78,85,88,91,94,95,100,103,110,112,117,120,124,125}

Returns: 281
6

6

{0,1,2,6,16,17,18,26,30,37,38,39,42,45,46,49,50,53,58}

Returns: 102
6

6

{1,2,3,5,9,13,19,22,26,27,28,30,31,32,35,36,37,40,43,45,48,49,51,52,61,62,63}

Returns: 147
6

6

{1,4,10,18,19,21,23,25,26,27,33,34,35,36,38,40,41,42,44,46,49,59,63}

Returns: 121
6

6

{0,1,3,7,15,16,20,21,25,26,27,28,29,30,31,33,34,36,37,39,40,42,46,48,51,53,57,63}

Returns: 137
7

6

{2,3,5,6,8,12,13,18,20,23,28,31,34,36,42,48,50,55,56,57,58,61,63,64,71,81,83,84,87,88,92,93,96,97,102,111,113,118,124,127}

Returns: 176
7

6

{0,1,2,3,5,6,9,10,14,15,16,18,19,20,22,23,25,27,28,29,30,32,34,35,38,40,41,42,43,44,45,47,48,52,55,56,59,60,63,64,67,72,73,75,77,79,81,83,84,85,88,93,94,97,99,102,104,105,106,108,109,111,112,115,116,118,124,125,127}

Returns: 185
7

6

{1,15,16,17,30,31,32,34,38,41,42,43,45,47,50,55,56,60,69,71,73,81,87,89,90,96,103,109,111,112,121,127}

Returns: 169
7

6

{3,9,10,14,16,19,22,24,26,29,37,44,45,47,48,59,65,68,70,76,81,88,90,91,94,95,97,102,105,107,111,114,115,121,125}

Returns: 165
7

6

{0,1,4,5,7,8,11,12,14,15,16,18,19,20,22,24,25,27,28,29,31,32,34,35,36,37,39,40,41,44,45,46,47,48,49,50,51,54,59,60,61,63,65,66,67,69,70,71,76,78,80,83,84,86,88,89,91,93,94,95,96,98,99,100,101,104,110,112,114,116,119,120,122,124,126}

Returns: 174
7

6

{0,3,4,5,6,7,10,13,15,16,17,21,24,26,27,29,30,31,33,35,36,37,38,39,40,42,43,47,48,49,50,51,53,54,55,59,61,63,65,66,67,68,71,73,74,75,80,81,82,83,84,85,86,87,88,91,92,96,99,103,105,106,108,111,113,114,116,120,121,123,124}

Returns: 169
7

6

{0,7,10,13,15,16,17,26,29,30,32,35,43,47,60,65,71,77,80,84,85,86,91,92,93,96,97,98,116}

Returns: 126
7

6

{1,5,7,8,9,10,14,15,17,19,21,23,25,27,28,29,30,31,33,34,35,36,40,43,44,47,48,49,55,56,57,61,62,63,65,66,67,68,75,76,77,78,79,83,89,90,93,94,96,100,102,104,105,106,107,108,111,112,116,125,126}

Returns: 174
7

6

{1,3,5,8,9,10,16,19,20,22,23,24,26,27,28,29,30,31,32,33,38,39,41,44,51,52,55,56,57,59,60,61,62,63,65,67,68,69,71,79,80,81,87,88,94,100,105,108,109,112,113,114,115,117,118,120,121,123,124,126}

Returns: 169
7

6

{0,1,4,6,7,8,11,13,16,17,19,21,23,25,29,32,33,35,36,38,39,44,45,47,49,52,54,55,56,57,58,60,61,63,64,68,69,73,74,76,79,80,87,89,91,93,95,96,98,100,101,107,110,112,114,115,117,118,122,124}

Returns: 162
7

6

{1,2,4,6,8,9,11,20,23,24,28,31,32,34,37,39,40,41,42,45,48,49,50,51,54,57,59,61,62,65,69,72,73,74,75,77,79,81,82,83,85,86,87,88,89,90,92,95,96,97,98,100,103,104,107,109,111,112,117,119,120}

Returns: 171
7

6

{7,9,10,12,13,15,17,23,26,27,28,31,33,37,38,39,40,41,43,44,45,48,51,52,53,54,58,59,61,63,65,67,68,71,72,73,74,75,76,77,78,88,90,91,94,96,97,99,100,102,106,109,113,115,119,121,126}

Returns: 165
6

4

{6,12,13,14,22,33,34,35,38,39,41,56}

Returns: 40
6

4

{0,1,2,10,19,23,43,48,49,50,51,55,56}

Returns: 56
6

4

{1,3,4,6,10,12,20,25,27,28,29,33,34,35,36,37,38,39,41,50,51,53,57}

Returns: 51
6

4

{0,2,4,6,13,17,20,21,23,27,30,31,38,39,42,43,53,54,56,58}

Returns: 59
6

4

{7,9,12,14,56,63}

Returns: 40
6

4

{2,6,8,10,13,15,17,19,26,29,32,47,53,60}

Returns: 54
6

4

{12,13,24,25,32,33,42,52}

Returns: 28
6

4

{0,1,7,9,11,14,19,21,25,26,28,29,30,31,32,33,35,36,39,42,46,49,52,57,58}

Returns: 56
6

3

{0,1,2,3,9,12,13,17,18,19,21,22,24,27,28,30,31,33,35,37,38,40,41,43,44,46,49,50,51,52,58,59}

Returns: 38
6

3

{0,1,2,3,4,5,6,9,10,12,13,14,16,17,21,24,26,28,29,30,31,32,34,36,37,38,42,43,44,46,48,49,50,51,52,54,56,60,62}

Returns: 38
6

3

{1,2,5,16,28,34,35}

Returns: 14
6

3

{2,3,19,20,44}

Returns: 14
6

3

{1,2,5,8,9,10,11,12,13,18,20,22,23,30,32,33,35,36,38,39,45,46,47,52,53,54,56,57,62}

Returns: 38
6

3

{2,3,7,12,56}

Returns: 14
6

3

{18,29,35,37,38,56}

Returns: 21
8

8

{3, 4, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 23, 26, 27, 28, 29, 33, 35, 37, 41, 42, 43, 45, 47, 48, 49, 53, 54, 55, 56, 57, 58, 60, 61, 62, 64, 66, 67, 68, 72, 74, 75, 78, 80, 81, 82, 83, 87, 89, 90, 91, 93, 94, 95, 98, 99, 100, 101, 103, 105, 108, 111, 112, 113, 115, 118, 119, 121, 122, 123, 125, 127, 128, 129, 130, 131, 137, 143, 144, 147, 148, 151, 152, 155, 156, 160, 163, 167, 169, 171, 172, 173, 178, 179, 180, 182, 186, 188, 190, 192, 193, 194, 195, 196, 198, 199, 204, 207, 208, 212, 213, 215, 217, 219, 220, 221, 225, 228, 231, 233, 237, 240, 243, 244, 245, 246, 247, 249, 251, 252, 254 }

Returns: 358
7

8

{0, 1, 2, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27, 28, 29, 33, 35, 37, 40, 42, 43, 45, 47, 48, 49, 53, 54, 55, 56, 57, 58, 60, 61, 62, 64, 66, 67, 68, 72, 74, 75, 78, 80, 81, 82, 83, 87, 89, 90, 91, 93, 94, 95, 98, 99, 100, 101, 103, 105, 108, 109, 111, 112, 113, 115, 118, 119, 121, 122, 123, 125, 127 }

Returns: 323
8

8

{3, 4, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 23, 26, 27, 28, 29, 33, 35, 37, 41, 42, 43, 45, 47, 48, 49, 53, 54, 55, 56, 57, 58, 60, 61, 62, 64, 66, 67, 68, 72, 74, 75, 78, 80, 81, 82, 83, 87, 89, 90, 91, 93, 94, 95, 98, 99, 100, 101, 103, 105, 108, 111, 112, 113, 115, 118, 119, 121, 122, 123, 125, 127, 128, 129, 130, 131, 137, 143, 144, 147, 148, 151, 152, 155, 156, 160, 163, 167, 169, 171, 172, 173, 178, 179, 180, 182, 186, 188, 190, 192, 193, 194, 195, 196, 198, 199, 204, 207, 208, 212, 213, 215, 217, 219, 220, 221, 225, 228, 231, 233, 237, 240, 243, 244, 245, 246, 247, 249, 251, 252, 254, 0, 1, 2, 203, 200, 201 }

Returns: 358
8

8

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255 }

Returns: 407

Statistics

Problem Statement for "SquadConstructor2"

Problem Statement

Definition

Constraints

Examples