Given a vector (x) and a window (y), calculate the sum s(k) corresponding to k-y(k)+1:k values of x
%%Example 1
x = [1 2 3 4 5 6];
y = [1 2 3 3 4 2];
%s(5) = sum(x(5-y(5)+1:5)) = sum(x(2:5))
s = [1, 1+2, 1+2+3, 2+3+4, 2+3+4+5, 5+6]
s = [1 3 6 9 14 11];
%%Example 2
x = [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20];
y = [1 2 3 4 2 5 3 7 2 4 5 4 7 6 3 9 5 5 3 6];
% hand-calculated values
s = [1, 1+2, 1+2+3, 1+2+3+4, 4+5, 2+3+4+5+6, 5+6+7, 2+3+4+5+6+7+8 ...
8+9, 7+8+9+10, 7+8+9+10+11, 9+10+11+12 7+8+9+10+11+12+13 ...
9+10+11+12+13+14, 13+14+15 8+9+10+11+12+13+14+15+16 ...
13+14+15+16+17, 14+15+16+17+18 17+18+19, 15+16+17+18+19+20]
s = [1 3 6 10 9 20 18 35 17 34 45 42 70 69 42 108 75 80 54 105]
Only vectorized solutions will be accepted. Check the test suite for banned functions.

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Last Solution submitted on Apr 23, 2026

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