817C. Really Big Numbers 二分
题意:给出两个数n, s,要求问1~n中\(x-bit(x)>=s\)的数有多少个。其中bit(x)指x的各位数之和
思路:首先观察能够发现,对于一个数如果满足了条件,由于x-bit(x)总是随x变大而变大的,所以只要求得最小的x能够满足条件,二分即可
/** @Date : 2017-07-02 11:17:55 * @FileName: 817C 二分.cpp * @Platform: Windows * @Author : Lweleth (SoungEarlf@gmail.com) * @Link : https://github.com/ * @Version : $Id$ */ #include <bits/stdc++.h> #define LL long long #define PII pair #define MP(x, y) make_pair((x),(y)) #define fi first #define se second #define PB(x) push_back((x)) #define MMG(x) memset((x), -1,sizeof(x)) #define MMF(x) memset((x),0,sizeof(x)) #define MMI(x) memset((x), INF, sizeof(x)) using namespace std; const int INF = 0x3f3f3f3f; const int N = 1e5+20; const double eps = 1e-8; LL n, s; LL trans(LL x) { LL res = 0; while(x) { res += x % 10; x /= 10; } return res; } int main() { while(cin >> n >> s) { LL l = 1, r = 1e18 + 20;//注意范围 if(s >= n)//注意s可能大于n { printf("0\n"); continue; } while(l < r) { LL mid = (l + r) >> 1; if(mid - trans(mid) >= s) r = mid; else l = mid + 1; //cout << l << '~' << r << endl; //cout << mid << "~" << trans(mid) << endl; } if(l > n) printf("0\n"); else printf("%lld\n", n - l + 1); } return 0; }