DP-Algo

Algorithm/DP-DynamicProgramming/Linear-DP/P1216 [IOI 1994 USACO1.5] 数字三角形 Number Triangles.cpp

@@ -0,0 +1,33 @@
+#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;
+}