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51 changes: 51 additions & 0 deletions PrefixSum.cpp
Original file line number Diff line number Diff line change
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/*

Given an array of N integers
Given Q queries
In each query given a range, L and R
Print the sum of array elements from L to R (inclusive)

Constratints:
1 <= N <= 10^5
1 <= a[i] <= 10^9
1 <= Q <= 10^5
1 <= L , R <= N

*/

#include <bits/stdc++.h>
using namespace std;

const int N = 1e5 + 10;
int a[N];
int prefixSum[N];

int main()
{

int n;
cin >> n;

// NOTE: Take input from 1 in prefix sum
for (int i = 1; i <= n; i++)
cin >> a[i];

// Pre computing
for (int i = 1; i <= n; i++)
prefixSum[i] = prefixSum[i - 1] + a[i];

int q;
cin >> q;

while (q--)
{

int l, r;
cin >> l >> r;

cout << prefixSum[r] - prefixSum[l - 1] << endl;
}

// Time complexity:
// O(N) + O(Q) = O(10^5)
}