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[Gym - 102861A] A - Sticker Album 概率dp
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发布时间:2019-03-04

本文共 1148 字,大约阅读时间需要 3 分钟。

???????????????????????????????dp[i]???dp[i]?????i?????????n???????????????????i=n?????i=0???dp[0]???

?????

  • ?a=0??????k????k?0?b?????1/(b+1)??????[dp[i] = \frac{\sum_{k=1}^{b} (dp[i + k] + 1)}{b} + 1]???sum?dp[i+1]?dp[i+b]???

  • ?a?0??????k????k?a?b?????1/(b-a+1)??????[dp[i] = \frac{\sum_{k=a}^{b} (dp[i + k] + 1)}{b - a + 1}]???sum?dp[i+a]?dp[i+b]???

  • ????

    double dp[maxn];int main() {    int n, a, b;    cin >> n >> a >> b;    int len = b - a + 1;    dp[n] = 0.0;    double sum = 0.0;    for (int i = n - 1; i >= 0; --i) {        if (!a) {            dp[i] = (sum + len) / (len - 1.0);            sum -= dp[i + b];            sum += dp[i];        } else {            dp[i] = sum / len + 1;            sum -= dp[i + b];            sum += dp[i + a - 1];        }    }    printf("%.8lf", dp[0]);}

    ????

  • ???????????maxn??????dp??????????dp[n]????0.0??????n?????????

  • ??????i=n-1???????i=0????????????dp[n]????????????

  • ??a=0?????a?0????k????????0?b??????????????????sum???sum?dp[i+1]?dp[i+b]???

  • ??a?0?????a??0?????????a?b??????????????????sum???sum?dp[i+a]?dp[i+b]???

  • ???????dp[0]??????0?????????

  • ???????????????????????????????????????????????????????????

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