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028.js
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29 lines (23 loc) · 706 Bytes
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// Starting with the number 1 and moving to the right in a clockwise direction
// a 5 by 5 spiral is formed as follows:
// 21 22 23 24 25
// 20 7 8 9 10
// 19 6 1 2 11
// 18 5 4 3 12
// 17 16 15 14 13
// It can be verified that the sum of the numbers on the diagonals is 101.
// What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral
// formed in the same way?
function diagonalsSum(size) {
var sum = 1;
var diagonal;
while (size > 1) {
diagonal = 4;
while (diagonal--) {
sum += size*size - (size-1)*diagonal;// Numbers on diagonal
}
size -= 2;
}
return sum;
};
console.log( diagonalsSum(1001) );