add Matrixchain

Matrixchain.cpp

+#include <stdio.h>
+#include <math.h>
+
+void printing(int s[][101], int i, int j){
+	if(i==j){
+		printf("%d ", i);
+	}
+	else{
+		printf("( ");
+		printing(s, i, s[i][j]);
+		printing(s, s[i][j] + 1, j);
+		printf(") ");
+	}
+}
+
+int main(){
+	
+	//2019017410_Moon MyeongKyun_12838
+	
+	int N, j, q;
+	int p[102];
+	int m[101][101], s[101][101];
+	
+	scanf("%d", &N);
+
+	for(int i = 1; i <= N+1; i++){
+		scanf("%d", &p[i]);
+	}
+
+	for(int i = 1; i <= N; i++){
+		m[i][i] = 0;
+	}
+	
+	for(int l = 2; l <= N; l++){
+		for(int i = 1; i <= N - l + 1; i++){
+			j = i + l - 1;
+			m[i][j] = INFINITY;
+			for(int k = i; k <= j - 1; k++){
+				q = m[i][k] + m[k + 1][j] + p[i]*p[k+1]*p[j+1];
+				if(q < m[i][j]){
+					m[i][j] = q;
+					s[i][j] = k;
+				}
+			} 
+		}
+	}
+
+	printf("%d\n", m[1][N]);
+	printing(s, 1, N);
+	
+	return 0;
+
+}