| # | Time | Username | Problem | Language | Result | Execution time | Memory | 
|---|---|---|---|---|---|---|---|
| 112573 | user202729 | Fish (IOI08_fish) | C++17 | 3099 ms | 11800 KiB | 
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// https://oj.uz/problem/view/IOI08_fish
#include<iostream>
#include<vector>
#include<algorithm>
int main(){
	std::ios::sync_with_stdio(0);std::cin.tie(0);
	int nf,nk,mod;std::cin>>nf>>nk>>mod;
	std::vector<std::vector<int>> lenof(nk); // kind -> list of fish lengths
	for(int i=0;i<nf;++i){
		int len,kind;std::cin>>len>>kind;--kind;
		lenof[kind].push_back(len);
	}
	for(int k=0;k<nk;++k)
		std::sort(begin(lenof[k]),end(lenof[k]));
	int ans=0;
	for(int k=0;k<nk;++k){
		// consider subsets with kind k being the max-kind
		auto const& ls=lenof[k];
		for(int a=0;a<ls.size();++a){ // assume there are a non-top gems of kind k
			int const l2=ls.back()/2; // the subset should contain only values <= l2
			if(a>0&&ls[a-1]>l2)
				break;
			// the max will always be ls.back()+1 except for the last iteration
			int const lim=std::max(ls.back()+1,ls[a]*2);
			// for all z >= lim, z != k, it should not appear in the subset
			int cur=1; // number of valid subset for current (k,a) pair
			for(int z=0;z<nk;++z)if(z!=k){
				if(lenof[z].back()>=lim)
					continue;
				auto const& ls2=lenof[z];
				cur*=
					// number of values <= l2 (can be inside the subset) of kind z
					int(std::upper_bound(begin(ls2),end(ls2),l2)-begin(ls2))
					+1;
				cur%=mod;
			}
			ans+=cur;
			ans%=mod;
		}
	}
	std::cout<<ans<<'\n';
}
/*
5
3
100
2 2
5 1
8 3
4 1
2 3
*/
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