UVa 701 - The Archeologists' Dilemma

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UVa 701 - The Archeologists’ Dilemma

题意

给出一个数n,这个数是$2^e$的前部分,现在求出最小的e。

思路

想不到可以枚举位数。参考了Staginner。

\[n * 10^x <= 2^e\] \[(n + 1) * 10^x > 2^e\]

然后解出e。

代码

#include <bits/stdc++.h>
using namespace std;
#define LL long long
#pragma comment(linker, "/STACK:102400000,102400000")
 
int main()
{
    int i, j, e, a;
    char str[100];
    while (~scanf("%d", &a))
    {
        sprintf(str, "%d", a);
        for (i = strlen(str) + 1; ; i++)
        {
            int x = (int)(log2(a) + i * log2(10));
            int y = (int)(log2(a + 1) + i * log2(10));
            if (x != y)
            {
                printf("%d\n", y);
                break;
            }
        }
    }
    return 0;
}

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