B. Neko Performs Cat Furrier Transform 【位运算】1300
B. Neko Performs Cat Furrier Transform
解法
目的就是为了让二进制全变成1,那么直接从最高位的0开始,假如最高位的0位置是h,那么就异或(1<<(h+1))-1,当然如果是偶数次操作,就+1
这样能够保证2次操作最少可以消除一个0,1e6不到20位,所以40次完全足够
代码
#include <bits/stdc++.h> #define ios ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0) #define debug_in freopen("in.txt","r",stdin) #define debug_out freopen("out.txt","w",stdout); #define pb push_back #define all(x) x.begin(),x.end() #define fs first #define sc second using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair<ll,ll> pii; const ll maxn = 1e6+10; const ll maxM = 1e6+10; const ll inf = 1e8; const ll inf2 = 1e17; template<class T>void read(T &x){ T s=0,w=1; char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')w=-1;ch=getchar();} while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar(); x = s*w; } template<class H, class... T> void read(H& h, T&... t) { read(h); read(t...); } template <typename ... T> void DummyWrapper(T... t){} template <class T> T unpacker(const T& t){ cout<<' '<<t; return t; } template <typename T, typename... Args> void pt(const T& t, const Args& ... data){ cout << t; DummyWrapper(unpacker(data)...); cout << '\n'; } //-------------------------------------------- int x; int ans[maxn],tail; int total; void solve(){ int tim = 10; while(true){ int w = -1,tag = 1; for(int i = 31;i>=0;i--){ if((x>>i) & 1) tag = 0; else if(tag == 0){ w = i; break; } } if(w == -1) break; total++; if(total&1) { ans[++tail] = w+1; x ^= (1<<(w+1))-1; }else{ x += 1; } } cout<<total<<'\n'; for(int i = 1;i<=tail;i++) cout<<ans[i]<<" "; } int main(){ // debug_in; read(x); solve(); return 0; }