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int lowerBoundIndex(int s) {
int i = 0;
int step = 1 << 20;
int curS = 0;
while (step > 0) {
if (i + step <= n && curS + t[i + step] < s) {
curS += t[i + step];
i += step;
}
step /= 2;
}
return i + 1;
}
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