Cody

# Problem 44757. Lights Out 6 - 5x5, 13 moves

Solution 2078496

Submitted on 3 Jan 2020 by Nikolaos Nikolaou
• Size: 177
• This is the leading solution.
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### Test Suite

Test Status Code Input and Output
1   Pass
board = [0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0]; moves = lights_out_6(board); % [1:5 8 13 18 21:25] b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 3 4 5 8 13 18 21 22 23 24 25 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

2   Pass
board = [1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0]; moves = lights_out_6(board); % [1:13] b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 3 4 5 6 7 8 9 10 11 12 13 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

3   Pass
board = [1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1]; moves = lights_out_6(board); % [1:2:25] b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 3 5 7 9 11 13 15 17 19 21 23 25 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

4   Pass
board = [1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0]; moves = lights_out_6(board); % [1:3 6 8:11 16:19 22] b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 3 6 8 9 10 11 16 17 18 19 22 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

5   Pass
board = [0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0]; moves = lights_out_6(board); % [1 4 6:9 12:16 19 22] b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 3 7 9 10 11 13 18 19 20 23 24 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

6   Pass
board = [1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1]; moves = lights_out_6(board); % [1 3 9 11 14 16 19 20:25] b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 4 6 8 9 10 12 15 18 19 21 25 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

7   Pass
board = [1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1]; moves = lights_out_6(board); % [1:2 4:6 10 13 16 20:22 24:25] b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 4 5 6 10 13 16 20 21 22 24 25 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

8   Pass
board = [0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0]; moves = lights_out_6(board); % on your own b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 2 3 4 6 7 9 13 17 19 20 22 23 24 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

9   Pass
board = [0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 0]; moves = lights_out_6(board); b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 3 4 5 12 13 14 21 22 23 24 25 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

10   Pass
board = [0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1]; moves = lights_out_6(board); b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 3 4 8 9 10 11 12 20 21 22 23 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

11   Pass
board = [1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1]; moves = lights_out_6(board); b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 2 3 4 7 9 10 11 12 17 18 19 20 21 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

12   Pass
board = [0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 1]; moves = lights_out_6(board); b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 4 5 11 12 13 16 17 18 19 20 23 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

13   Pass
board = [0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0]; moves = lights_out_6(board); b1 = diag(ones(1,5),0) + diag(ones(1,4),1) + diag(ones(1,4),-1); b2 = eye(5); b3 = zeros(5); b_map = [b1,b2,b3,b3,b3;b2,b1,b2,b3,b3;b3,b2,b1,b2,b3;b3,b3,b2,b1,b2;b3,b3,b3,b2,b1]; for i = 1:numel(moves) board = mod(board + reshape(b_map(moves(i),:),[5,5]),2); %remove semicolon to display progress end assert(sum(abs(board(:)))==0) assert(numel(moves)==13)

moves = 1 2 5 8 9 13 14 15 16 17 20 22 24 lol = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0