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#include<iostream>
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#include<string>
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#include<string.h>
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#include<vector>
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#include<queue>
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#include<map>
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#include<stack>
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#include<set>
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#include<functional>
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#include<utility>
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#include<algorithm>
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#include<cmath>
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#include<climits>
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#include<tuple>
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#include<numeric>
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#include<any>
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#include<bitset>
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#define int long long
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using namespace std;
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const int N=1e5+10;
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signed main(){
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  cin.tie(nullptr)->ios::sync_with_stdio(false);
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  return 0;
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}