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51 changes: 51 additions & 0 deletions Searching/splitArray.cpp
Original file line number Diff line number Diff line change
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/* Problem Statement : Given an integer array nums and an integer k,
split nums into k non-empty subarrays such that the largest sum of any subarray is minimized.
Return the minimized largest sum of the split.
Note - A subarray is a contiguous part of the array.*/


#include<bits/stdc++.h>
using namespace std;
#define ll long long int

int splitArray(vector<int>& nums, int k) {
int l = 0, r = 0, n = nums.size();
for (int i = 0; i < n; ++i) l = max(l, nums[i]), r += nums[i];

int mid = 0, ans = 0;
while (l <= r) {
mid = (l + r) / 2;
int count = 0, tempsum = 0;
for (int i = 0; i < n; ++i) {
if (tempsum + nums[i] <= mid) tempsum += nums[i];
else count++, tempsum = nums[i];
}
count++;

if (count <= k) r = mid - 1, ans = mid;
else l = mid + 1;
}
return ans;
}

int main()
{

#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif

int n;
cin >> n;
vector<int> vec(n);
for (int i = 0; i < n; i++)
{
cin >> vec[i];
}
int k;
cin >> k;

cout << splitArray(vec, k) << endl;
return 0;
}