Cody

# Problem 44766. Lights Out 12 - 5x5, three stages, <7 moves

Solution 1803222

Submitted on 2 May 2019 by William
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### Test Suite

Test Status Code Input and Output
1   Pass
board = [1 1 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 2 0]; moves = lights_out_12(board); % [1 1 19] 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

2   Pass
board = [2 2 0 2 2 2 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 2 0 2 2]; moves = lights_out_12(board); % [1 5 13 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

3   Pass
board = [0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 0 0 0]; moves = lights_out_12(board); % [5 5 7 7 23 23] 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

4   Pass
board = [2 1 2 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0 2 1 2 0 0]; moves = lights_out_12(board); % [6:10] 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

5   Pass
board = [1 1 0 0 0 2 0 0 0 0 1 1 0 0 0 2 0 0 0 0 1 1 0 0 0]; moves = lights_out_12(board); % [1 1 3 3 5 5] 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

6   Pass
board = [0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0]; moves = lights_out_12(board); % [7 9 13 17 19] 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

7   Pass
board = [0 2 0 2 0 2 1 1 1 2 2 0 1 0 2 2 1 1 1 2 0 2 0 2 0]; moves = lights_out_12(board); % [7:9 17:19] 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

8   Pass
board = [0 0 0 0 0 0 2 1 2 0 2 0 2 0 2 0 2 1 2 0 0 0 0 0 0]; moves = lights_out_12(board); % [8 13 13 18] 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

9   Pass
board = [0 1 1 1 0 1 2 0 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0]; moves = lights_out_12(board); % [7 7 12 12 17 17] 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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

10   Pass
board = [0 0 0 1 2 0 0 2 2 1 0 1 0 2 2 0 1 1 2 2 2 0 0 0 2]; moves = lights_out_12(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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

11   Pass
board = [0 2 1 0 0 2 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0]; moves = lights_out_12(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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)

12   Pass
board = [1 1 1 0 0 0 0 0 0 0 2 1 1 0 0 2 0 0 2 0 0 1 1 2 0]; moves = lights_out_12(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]),3); %remove semicolon to display progress end assert(sum(abs(board(:)))==0)