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Codeforces Round #336 (Div. 1) B. Zuma(区间DP&&记忆化)
阅读量:386 次
发布时间:2019-03-05

本文共 1772 字,大约阅读时间需要 5 分钟。

?????????????

???0?1??????????????????????????????????????????????????????????????

?????????????

??dp[l][r]????[l, r]??????????????????????????dp[l][l] = 0??????????????

?????l??????????????????n???????????????????????

  • ???????a[l] == a[r]????????[l+1][r-1]?????????????????????????????????
  • ????????????????????????????????????????l+1????r-1???????
  • ????????????????????????????????

    ??????

    #include 
    using namespace std;typedef long long ll;int n, dp[501][501], a[501];const int INF = 0x3f3f3f3f;void dfs(int l, int r) { if (l > r) return 1; if (l == r) return dp[l][r] = 1; if (dp[l][r] != INF) return dp[l][r]; int ans = INF; if (a[l] == a[r]) { ans = dp[l+1][r-1]; if (ans == INF) { ans = dfs(l+1, r-1); } } else { ans = min(dp[l+1][r], dp[l][r-1]); if (ans == INF) { ans = min(dfs(l+1, r), dfs(l, r-1)); } } if (ans != INF) { dp[l][r] = ans; } else { dp[l][r] = INF; } return dp[l][r];}int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%d", &a[i]); } for (int i = 1; i <= n; ++i) { dp[i][i] = 1; } for (int len = 2; len <= n; ++len) { for (int l = 1; l + len - 1 <= n; ++l) { int r = l + len - 1; if (a[l] == a[r]) { dp[l][r] = dp[l+1][r-1]; } else { dp[l][r] = min(dp[l+1][r], dp[l][r-1]); } if (dp[l][r] > 1) { dp[l][r] = INF; } } } printf("%d", dp[1][n]);}

    ????

  • ????????????dp?????dp[l][l] = 1???????????0??
  • ??????????2?n??????????????????????????????????????????????????????
  • ???????????????????????????????????????
  • ??????????????????????????????????????????

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