Submission #963950

#TimeUsernameProblemLanguageResultExecution timeMemory
963950pccAlternating Current (BOI18_alternating)C++17
13 / 100
30 ms600 KiB
#include <bits/stdc++.h> using namespace std; #define ll long long #define pll pair<ll,ll> #define pii pair<int,int> #define fs first #define sc second #define tlll tuple<ll,ll,ll> const int mxn = 16; int N,M; pii arr[mxn]; int ans = -1; vector<int> paths[mxn]; int col[mxn]; bool inside(pii r,int p){ if(r.fs<=r.sc){ if(r.fs<=p&&p<=r.sc)return true; else return false; } else{ if(p<=r.fs||p>=r.sc)return true; else return false; } } bool banana(int a,int b){ pii ta = arr[a],tb = arr[b]; if(inside(ta,tb.fs)||inside(ta,tb.sc)||inside(tb,ta.fs)||inside(tb,ta.sc))return true; else return false; } void dfs(int now,int c = 1){ col[now] = c; for(auto nxt:paths[now]){ if(col[nxt]&&col[nxt] != -c){ cout<<"impossible\n"; exit(0); } if(!col[nxt])dfs(nxt,-c); } return; } vector<int> peko[mxn]; int main(){ ios::sync_with_stdio(0);cin.tie(0);cout.tie(0); cin>>N>>M; for(int i = 0;i<M;i++){ cin>>arr[i].fs>>arr[i].sc; arr[i].fs--,arr[i].sc--; int k = arr[i].fs; while(k != arr[i].sc){ peko[k].push_back(i); k = (k+1)%N; } peko[k].push_back(i); } for(int i = 0;i<N;i++){ if(peko[i].size() == 2){ int a = peko[i][0],b = peko[i][1]; paths[a].push_back(b); paths[b].push_back(a); } if(peko[i].size() < 2){ cout<<"impossible\n"; return 0; } } for(int i = 0;i<M;i++){ if(!col[i])dfs(i); } for(int i = 0;i<(1<<M);i++){ int dp[mxn] = {}; for(int j = 0;j<M;j++){ int k; for(k = arr[j].fs;k != arr[j].sc;k = (k+1)%N){ dp[k] |= 1<<(i&(1<<j)?1:0); } dp[k] |= 1<<(i&(1<<j)?1:0); } if(*min_element(dp,dp+N) == 3)ans = i; } if(ans == -1)assert(false); else{ for(int i = 0;i<M;i++){ if(ans&(1<<i))cout<<1; else cout<<0; } } return 0; }
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