Slope Hack -

What is the Slope Hack? The slope hack (also known as the "convex trick" or "slope trick" in competitive programming) is a technique for optimizing DP (Dynamic Programming) transitions of the form:

#include <bits/stdc++.h> using namespace std; int main() int n; cin >> n; slope hack

[ dp[i] = \min_j < i (dp[j] + |a_i - a_j| \cdot C + \textconstant) ] What is the Slope Hack

priority_queue<long long> left; // max-heap priority_queue<long long, vector<long long>, greater<long long>> right; // min-heap long long ans = 0; using namespace std