Merge pull request #119 from mory91/game_of_sum

game_of_sum

Author: matthewsamuel95

DP/game_of_sum/10891.cpp

@@ -0,0 +1,39 @@
+#include <iostream>
+#include <string.h>
+using namespace std;
+#define inf 999999
+#define max(a,b) a > b ? a : b
+int n ;
+int dp[105][105];
+int a[105],sum[105];
+
+int get_sum(int i , int j){
+    return sum[j]-sum[i-1];
+}
+int solve(int l, int r)
+{
+    if(l > r) return 0;
+    if(l == r) return a[l];
+    int &ret = dp[l][r];
+    if(ret != -1) return ret;
+    ret = -inf ;
+    for(int i = l; i <= r; i++)
+    {
+        ret = max(ret, get_sum(l,i) - solve(i+1, r));
+        ret = max(ret, get_sum(i,r) - solve(l, i-1));
+    }
+    return ret;
+}
+int main()
+{
+    while(cin >> n && n){
+        memset(sum,0,sizeof sum);
+        for(int i = 1 ; i <= n ; i++ ) {
+            cin >> a[i];
+            sum[ i ] = sum[ i-1 ] + a[i] ;
+        }
+        memset(dp,-1,sizeof dp);
+        int ret = solve(1,n);
+        cout << ret << endl;
+    }
+}