// https://discuss.leetcode.com/topic/51353/simple-dp-solution-with-explanation
// https://en.wikipedia.org/wiki/Minimax
// 开始我的思路有问题,我是先选择区间,最后收敛到结果数
// 实际上work的思路是,先选择数字,再走向某个区间,然后取两个区间中的更大值 class Solution {
int ** table;
int DP(int s, int e) {
if (s >= e) {
return ;
} if (table[s][e] != INT_MAX) {
return table[s][e];
}
int local_max = INT_MAX;
for (int k=s; k<=e; ++k) {
// 下面这个表达式很重要
local_max = min(k + max(DP(s, k-), DP(k+, e)), local_max);
}
table[s][e] = local_max;
return local_max;
} public:
int getMoneyAmount(int n) { table = new int*[n+];
for (int i=; i<n+; ++i) {
table[i] = new int[n+];
for (int j=; j<n+; ++j) {
table[i][j] = INT_MAX;
}
} int ret = DP(, n); for (int i=; i<n+; ++i) {
delete[] table[i];
}
delete[] table; return ret;
} };

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