C. Sasha and the Casino

合集 - 思维题(99)

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70.C. Sasha and the Casino2024-03-28

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收起

原题链接

题解

1.要确保任意回合赢回来的钱都要比之前下注的钱的总和要多
令 $b_i$ 为第 $i$ 回合下注的钱，则有 $b_i·k>\sum _{j=1}^i{b}_j$
则有 $b_i\ge \lfloor \frac{\sum _{j=1}^{i-1}{b}_j}{k-1}\rfloor +1$

为了尽可能地不把钱花光，选最小的 $b_i$

2.如果在下注过程中把钱花光了，输出no

code

#include<bits/stdc++.h>
using namespace std;
int k,x,a;
void solve()
{
    int sum=0;
    for(int i=1;i<=x+1;i++)
    {
        sum+=sum/(k-1)+1;
        if(sum>a)
        {
            puts("NO");
            return;
        }
    }
    puts("YES");
}
int main()
{
    int t;
    cin>>t;
    while(t--)
    {
        cin>>k>>x>>a;
        solve();
    }
    return 0;
}