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Data-Structure/Algorithm/DP-DynamicProgramming/P1216 [IOI 1994 USACO1.5] 数字三角形 Number Triangles.cpp
2025-09-13 22:37:17 +08:00

34 lines
714 B
C++

#include <iostream>
#include <vector>
using namespace std;
int main(){
int n;
cin >> n;
vector<vector<int>> arr(n);
vector<vector<int>> dp(n);
int tmp;
for(int i = 0; i < n; i++){
for(int j = 0; j < i + 1; j++){
cin >> tmp;
arr[i].push_back(tmp);
dp[i].push_back(-1);
}
}
dp[0][0] = arr[0][0];
for(int i = 1; i < n; i++){
for(int j = 0; j < i + 1; j++){
if(j == 0) dp[i][j] = dp[i - 1][j] + arr[i][j];
else if(j == i) dp[i][j] = dp[i - 1][j - 1] + arr[i][j];
else{
dp[i][j] = max(dp[i - 1][j - 1] + arr[i][j], dp[i - 1][j] + arr[i][j]);
}
}
}
int max = -2;
for(int i = 0; i < n; i++){
if(dp[n - 1][i] > max) max = dp[n - 1][i];
}
cout << max << endl;
return 0;
}