嗯...
题目链接:https://www.luogu.org/problem/P1880
这道题特点在于石子是一个环,所以让a[i+n] = a[i](两倍长度)即可解决环的问题,然后注意求区间最小值的时候dp要初始化为一个很大的数...
AC代码:
1 #include2 #include 3 #include 4 #include 5 6 using namespace std; 7 8 int dp1[205][205], dp2[205][205], sum[205], a[205]; 9 10 int main(){11 int n;12 scanf("%d", &n);13 for(int i = 1; i <= n; i++) {scanf("%d", &a[i]); a[i + n] = a[i];}14 for(int i = 1; i <= n * 2; i++) {sum[i] = sum[i - 1] + a[i];}15 for(int l = 1; l <= n; l++){16 for(int i = 1; i <= 2 * n; i++){17 int j = i + l;18 dp2[i][j] = 0x3f3f3f;// 求最小值初始化为很大 19 if(j > 2 * n) break;20 for(int k = i; k < j; k++){21 dp1[i][j] = max(dp1[i][j], dp1[i][k] + dp1[k + 1][j] + sum[j] - sum[i - 1]);22 dp2[i][j] = min(dp2[i][j], dp2[i][k] + dp2[k + 1][j] + sum[j] - sum[i - 1]);23 }24 }25 }26 int maxx = 0, minn = 0x3f3f;27 for(int i = 1; i <= n; i++){28 int j = i + n - 1;29 maxx = max(maxx, dp1[i][j]);30 minn = min(minn, dp2[i][j]);31 }32 printf("%d\n%d\n", minn, maxx);33 return 0;34 }