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poj3252 Round Numbers

sizeof assert algorithm pan clas std const ring math

題意:一個數,二進制形式去掉leading zero後,如果0的數量大於等於1的數量,計算區間內這樣數的個數。

右區間轉為二進制形式,然後在二進制上數位dp,遞歸的時候記錄leading zero是否消除了,以及0比1多的數量delta。dp記錄時有沒有leading zero也是一個狀態。

#include <iostream>
#include <cstdio>
#include <cmath>
#include <algorithm>
#include <vector>
#include <iomanip>
#include 
<cstring> #include <map> #include <queue> #include <set> #include <cassert> using namespace std; const double EPS=1e-8; const int SZ=5050,INF=0x7FFFFFFF; typedef long long lon; int dp[50][120][2]; int dfs(int pos,int delta,int limit,string &str,int lead) { if(pos==str.size())return
delta>=0&&!lead; if(!limit&&dp[str.size()-pos-1][delta+60][lead]!=-1)return dp[str.size()-pos-1][delta+60][lead]; int up=limit?str[pos]-0:1; int res=0; for(int i=0;i<=up;++i) { if(!i) { if(lead)res+=dfs(pos+1,delta,limit&&str[pos]-
0==i,str,1); else res+=dfs(pos+1,delta+1,limit&&str[pos]-0==i,str,0); } else res+=dfs(pos+1,delta-1,limit&&str[pos]-0==i,str,0); }//一直將str[pos]寫成str[i] if(!limit)dp[str.size()-pos-1][delta+60][lead]=res; return res; } int work(string &str) { return dfs(0,0,1,str,1); } string parseBinary(int x) { string res=""; for(int i=0;i<32;++i) { if(x&(1<<i))res="1"+res; else res="0"+res; } res.erase(0,res.find_first_not_of(0));///??????empty return res; } int main() { std::ios::sync_with_stdio(0); //freopen("d:\\1.txt","r",stdin); //lon casenum; //cin>>casenum; memset(dp,-1,sizeof(dp)); int ll,rr; //for(lon time=1;time<=casenum;++time) //for(lon time=1;cin>>ll>>rr;++time) { cin>>ll>>rr; --ll; string sll=parseBinary(ll),srr=parseBinary(rr); cout<<work(srr)-work(sll)<<endl; } return 0; }

poj3252 Round Numbers