programming-examples/c++/_Basic/FenwickTree.cpp
2019-11-15 12:59:38 +01:00

48 lines
883 B
C++

#include <iostream>
using namespace std;
const int maxn = 200000;
int t[maxn];
void add(int t[], int i, int value) {
for (; i < maxn; i |= i + 1)
t[i] += value;
}
// sum[0,i]
int sum(int t[], int i) {
int res = 0;
for (; i >= 0; i = (i & (i + 1)) - 1)
res += t[i];
return res;
}
// Returns min(p|sum[0,p]>=sum)
int lower_bound(int t[], int sum) {
--sum;
int pos = -1;
for (int blockSize = 1 << 30; blockSize != 0; blockSize >>= 1) {
if (blockSize > maxn) continue;
int nextPos = pos + blockSize;
if (nextPos < maxn && sum >= t[nextPos]) {
sum -= t[nextPos];
pos = nextPos;
}
}
return pos + 1;
}
// Usage example
int main() {
add(t, 0, 4);
add(t, 1, 5);
add(t, 2, 5);
add(t, 2, 5);
cout << (4 == sum(t, 0)) << endl;
cout << (19 == sum(t, 2)) << endl;
cout << (2 == lower_bound(t, 19)) << endl;
cout << (maxn == lower_bound(t, 20)) << endl;
}