codeforces 552 C Vanya and Scales
非常显然,换句话说就是问,是否存在m=wa+wb+……+wf-wc-wd-……-we。再进行化简就能够得到。是在问,是否存在m=((((wh±1)wi±1)±1)wj±1)wk……。
那么非常显然可以进行搜索,比方说用广搜,每次当前的m±1中若有因子w就所有约掉,然后丢到队列中,否则就不用管,仅仅要队列中可以出现1,那么这样的情况就是存在的。反之就是不存在。
#include<map> #include<string> #include<cstring> #include<cstdio> #include<cstdlib> #include<cmath> #include<queue> #include<vector> #include<iostream> #include<algorithm> #include<bitset> #include<climits> #include<list> #include<iomanip> #include<stack> #include<set> using namespace std; int cnt(int w,int x) { while(x%w==0) x/=w; return x; } queue<int>qq; bool bfs(int w,int m) { int t=cnt(w,m); if(t!=m) qq.push(t); else qq.push(m); while(qq.size()) { t=qq.front(); qq.pop(); if(t==1) return 1; int t1=cnt(w,t+1); if(t1!=t+1) qq.push(t1); t1=cnt(w,t-1); if(t1!=t-1) qq.push(t1); } return 0; } int main() { int w,m; cin>>w>>m; if(bfs(w,m)) puts("YES"); else puts("NO"); }
Vanya has a scales for weighing loads and weights of masses w0, w1, w2, ..., w100 grams where w is some integer not less than 2(exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance.
InputThe first line contains two integers w, m (2 ≤ w ≤ 109, 1 ≤ m ≤ 109) — the number defining the masses of the weights and the mass of the item.
OutputPrint word 'YES' if the item can be weighted and 'NO' if it cannot.
Sample test(s) input3 7output
YESinput
100 99output
YESinput
100 50output
NONote
Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 + 3 = 9 + 1.
Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100.
Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input.
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- CodeForces 552C-Vanya and Scales【思维】
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