oj.uz

Submission #231741

# Submission time Handle Problem Language Result Execution time Memory
231741 2020-05-14T15:01:12 Z kshitij_sodani Boat (APIO16_boat) C++17
9 / 100
 908 ms 23332 KB 
#include <bits/stdc++.h>
#include <iostream>
using namespace std;
typedef int64_t llo;
#define mp make_pair
#define a first
#define b second
#define pb push_back
llo n,aa,bb;
map<llo,llo> dd;
llo si[2001];
llo mod=1000000007;
vector<llo> cc;
vector<pair<llo,llo>> it;
llo fac[501];
llo fac2[501];
llo pre[2001][501];
llo pre2[2001][501];
llo com[501][501];
llo dp[501][2001];
llo ind2=0;

llo mod2(llo ee,llo ff){
	if(ff==0){
		return 1;
	}
	llo ans=mod2(ee,ff/2);
	ans*=ans;
	ans%=mod;
	if(ff%2==1){
		ans*=ee;
		ans%=mod;
	}
	return ans;
}
void comp(){
	fac[0]=1;
	for(llo i=1;i<501;i++){
		fac[i]=fac[i-1]*i;
		fac[i]%=mod;
	}
	for(llo i=0;i<501;i++){
		fac2[i]=mod2(fac[i],mod-2);
	}
}
void ncr(){
	for(llo i=0;i<n+1;i++){
		for(llo j=0;j<=i;j++){
			com[i][j]=fac2[j]*fac2[i-j];
			com[i][j]%=mod;
			com[i][j]*=fac[i];
			com[i][j]%=mod;
		}
	}
}
void comp2(){
	fac[0]=1;
	for(llo i=0;i<ind2;i++){
		llo cur=1;
		pre[i][0]=0;
		for(llo j=1;j<n+1;j++){
			if(j<=si[i]){
				cur*=mod2(j,mod-2);
				cur%=mod;
				cur*=(si[i]-j+1);
				cur%=mod;
				pre[i][j]=cur;
			}
			else{
				pre[i][j]=0;
			}
		}		
	}
	for(llo i=0;i<ind2;i++){
		for(llo j=1;j<n+1;j++){
			pre2[i][j]=0;
			int l=0;
			for(llo k=1;k<=j;k++){
				pre2[i][j]+=pre[i][k]*com[j-1][k-1];
				l+=1;
				if(l==10){
					l=0;
					pre2[i][j]%=mod;
				}
			}
		}
	}
}

int main(){
	cin>>n;
	for(llo i=0;i<n;i++){
		cin>>aa>>bb;
		cc.pb(aa);
		cc.pb(bb);
		it.pb({aa,bb});
	}
	comp();//factorial
	ncr();//computing iCj for i and j from 1 to n
	sort(cc.begin(),cc.end());
	for(llo i=0;i<cc.size();i++){
		if(i<cc.size()-1 and cc[i]==cc[i+1]){
			continue;
		}
		dd[cc[i]]=ind2;
		ind2+=1;

		si[dd[cc[i]]]=1;
		if(i<cc.size()-1){
			if(cc[i]<cc[i+1]-1){
				si[ind2]=cc[i+1]-cc[i]-1;
				ind2+=1;
			}
		}
	}
	comp2();
	for(llo i=0;i<n;i++){
		it[i].a=dd[it[i].a];
		it[i].b=dd[it[i].b];
	}

	for(llo i=0;i<n;i++){
		for(llo j=0;j<ind2;j++){
			dp[i][j]=0;
		}
	}
	for(llo j=0;j<ind2;j++){
		if(j>=it[0].a and j<=it[0].b){
			dp[0][j]=si[j];
		}
		if(j>0){
			dp[0][j]+=dp[0][j-1];
		}
		dp[0][j]%=mod;
	}
	for(llo i=1;i<n;i++){
		for(llo j=it[i].a;j<=it[i].b;j++){
			llo cot=1;
			int l=0;
			for(llo k=i-1;k>=0;k--){
				if(j>0){
					dp[i][j]+=(dp[k][j-1])*pre2[j][cot];
					if(l==10){
						dp[i][j]%=mod;
						l=0;
					}
					l+=1;

				}
				if(it[k].a<=j and j<=it[k].b){
					cot+=1;
				}
			}
			dp[i][j]+=pre2[j][cot];
			dp[i][j]%=mod;
		}

		for(llo j=1;j<ind2;j++){
			dp[i][j]+=dp[i][j-1];
			dp[i][j]%=mod;
		}
		
	}
	llo ans=0;
	for(llo i=0;i<n;i++){
			ans+=dp[i][ind2-1];
			ans%=mod;
	}
	cout<<ans<<endl;







	
	
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:101:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(llo i=0;i<cc.size();i++){
              ~^~~~~~~~~~
boat.cpp:102:7: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(i<cc.size()-1 and cc[i]==cc[i+1]){
      ~^~~~~~~~~~~~
boat.cpp:109:7: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(i<cc.size()-1){
      ~^~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 583 ms 16248 KB Output is correct
2 Correct 589 ms 16196 KB Output is correct
3 Correct 584 ms 16120 KB Output is correct
4 Correct 582 ms 16120 KB Output is correct
5 Correct 583 ms 16120 KB Output is correct
6 Correct 582 ms 16120 KB Output is correct
7 Correct 581 ms 16248 KB Output is correct
8 Correct 586 ms 16120 KB Output is correct
9 Correct 582 ms 16120 KB Output is correct
10 Correct 582 ms 16376 KB Output is correct
11 Correct 586 ms 16124 KB Output is correct
12 Correct 585 ms 16124 KB Output is correct
13 Correct 584 ms 16120 KB Output is correct
14 Correct 582 ms 16120 KB Output is correct
15 Correct 584 ms 16124 KB Output is correct
16 Correct 111 ms 6472 KB Output is correct
17 Correct 119 ms 6488 KB Output is correct
18 Correct 114 ms 6392 KB Output is correct
19 Correct 119 ms 6520 KB Output is correct
20 Correct 115 ms 6520 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 583 ms 16248 KB Output is correct
2 Correct 589 ms 16196 KB Output is correct
3 Correct 584 ms 16120 KB Output is correct
4 Correct 582 ms 16120 KB Output is correct
5 Correct 583 ms 16120 KB Output is correct
6 Correct 582 ms 16120 KB Output is correct
7 Correct 581 ms 16248 KB Output is correct
8 Correct 586 ms 16120 KB Output is correct
9 Correct 582 ms 16120 KB Output is correct
10 Correct 582 ms 16376 KB Output is correct
11 Correct 586 ms 16124 KB Output is correct
12 Correct 585 ms 16124 KB Output is correct
13 Correct 584 ms 16120 KB Output is correct
14 Correct 582 ms 16120 KB Output is correct
15 Correct 584 ms 16124 KB Output is correct
16 Correct 111 ms 6472 KB Output is correct
17 Correct 119 ms 6488 KB Output is correct
18 Correct 114 ms 6392 KB Output is correct
19 Correct 119 ms 6520 KB Output is correct
20 Correct 115 ms 6520 KB Output is correct
21 Incorrect 908 ms 23332 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 24 ms 4608 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 583 ms 16248 KB Output is correct
2 Correct 589 ms 16196 KB Output is correct
3 Correct 584 ms 16120 KB Output is correct
4 Correct 582 ms 16120 KB Output is correct
5 Correct 583 ms 16120 KB Output is correct
6 Correct 582 ms 16120 KB Output is correct
7 Correct 581 ms 16248 KB Output is correct
8 Correct 586 ms 16120 KB Output is correct
9 Correct 582 ms 16120 KB Output is correct
10 Correct 582 ms 16376 KB Output is correct
11 Correct 586 ms 16124 KB Output is correct
12 Correct 585 ms 16124 KB Output is correct
13 Correct 584 ms 16120 KB Output is correct
14 Correct 582 ms 16120 KB Output is correct
15 Correct 584 ms 16124 KB Output is correct
16 Correct 111 ms 6472 KB Output is correct
17 Correct 119 ms 6488 KB Output is correct
18 Correct 114 ms 6392 KB Output is correct
19 Correct 119 ms 6520 KB Output is correct
20 Correct 115 ms 6520 KB Output is correct
21 Incorrect 908 ms 23332 KB Output isn't correct
22 Halted 0 ms 0 KB -