DMOJ · dmopc19c2p2

Squares

This C++ solution uses dynamic programming for DMOJ dmopc19c2p2 Squares. Read the reasoning, inspect the code, or try your own test case below.

dmopc19c2p2Dynamic programmingC++29 lines
Solution198of 248
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Approach

Dynamic programming

Squares matches the positive-cost grid, right/down moves, and minimum top-left-to-bottom-right cost.

Dynamic programming

Problem and code

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Written by benbenyaojifen. Try the problem first, then compare your approach with the code.

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Implementation

P_2_Squares.cpp

C++

    #include <bits/stdc++.h>
    using namespace std;
    using ll = long long;
    using i128 = __int128;
    const int inf = 1e9;
    const ll INF = 1e18; //❄️
    int main() {
        ios::sync_with_stdio(0); cin.tie(0); 
        int n, m; cin >> n >> m;
        vector<vector<int>> dp(n, vector<int>(m));
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                cin >> dp[i][j];
            }
        }
        for (int i = 1; i < n; i++) {
            dp[i][0] += dp[i - 1][0];
        }
        for (int i = 1; i < m; i++) {
            dp[0][i] += dp[0][i - 1];
        }
        for (int i = 1; i < n; i++) {
            for (int j = 1; j < m; j++) {
                dp[i][j] = min(dp[i - 1][j], dp[i][j - 1]) + dp[i][j];
            }
        }
        cout << dp[n - 1][m - 1] << '\n';
        return 0;
    }
        

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