oj.uz

Submission #231749

# Submission time Handle Problem Language Result Execution time Memory
231749 2020-05-14T15:13:03 Z kshitij_sodani Boat (APIO16_boat) C++17
58 / 100
 785 ms 26080 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==12){
					l=0;
					pre2[i][j]%=mod;
				}
			}
			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];
				//	dp[i][j]%=mod;
					if(l==12){
						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:102:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(llo i=0;i<cc.size();i++){
              ~^~~~~~~~~~
boat.cpp:103:7: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(i<cc.size()-1 and cc[i]==cc[i+1]){
      ~^~~~~~~~~~~~
boat.cpp:110:7: 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 298 ms 16248 KB Output is correct
2 Correct 295 ms 16120 KB Output is correct
3 Correct 290 ms 16248 KB Output is correct
4 Correct 288 ms 16204 KB Output is correct
5 Correct 302 ms 16136 KB Output is correct
6 Correct 292 ms 16120 KB Output is correct
7 Correct 291 ms 16096 KB Output is correct
8 Correct 300 ms 16132 KB Output is correct
9 Correct 290 ms 16100 KB Output is correct
10 Correct 290 ms 16144 KB Output is correct
11 Correct 292 ms 16248 KB Output is correct
12 Correct 312 ms 16144 KB Output is correct
13 Correct 292 ms 16080 KB Output is correct
14 Correct 295 ms 16116 KB Output is correct
15 Correct 291 ms 16224 KB Output is correct
16 Correct 60 ms 6392 KB Output is correct
17 Correct 64 ms 6520 KB Output is correct
18 Correct 62 ms 6520 KB Output is correct
19 Correct 64 ms 6520 KB Output is correct
20 Correct 61 ms 6520 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 298 ms 16248 KB Output is correct
2 Correct 295 ms 16120 KB Output is correct
3 Correct 290 ms 16248 KB Output is correct
4 Correct 288 ms 16204 KB Output is correct
5 Correct 302 ms 16136 KB Output is correct
6 Correct 292 ms 16120 KB Output is correct
7 Correct 291 ms 16096 KB Output is correct
8 Correct 300 ms 16132 KB Output is correct
9 Correct 290 ms 16100 KB Output is correct
10 Correct 290 ms 16144 KB Output is correct
11 Correct 292 ms 16248 KB Output is correct
12 Correct 312 ms 16144 KB Output is correct
13 Correct 292 ms 16080 KB Output is correct
14 Correct 295 ms 16116 KB Output is correct
15 Correct 291 ms 16224 KB Output is correct
16 Correct 60 ms 6392 KB Output is correct
17 Correct 64 ms 6520 KB Output is correct
18 Correct 62 ms 6520 KB Output is correct
19 Correct 64 ms 6520 KB Output is correct
20 Correct 61 ms 6520 KB Output is correct
21 Correct 477 ms 23240 KB Output is correct
22 Correct 446 ms 23392 KB Output is correct
23 Correct 430 ms 23172 KB Output is correct
24 Correct 457 ms 23392 KB Output is correct
25 Correct 428 ms 23136 KB Output is correct
26 Correct 463 ms 22520 KB Output is correct
27 Correct 481 ms 22648 KB Output is correct
28 Correct 492 ms 22648 KB Output is correct
29 Correct 498 ms 22716 KB Output is correct
30 Correct 400 ms 24752 KB Output is correct
31 Correct 398 ms 24824 KB Output is correct
32 Correct 396 ms 24696 KB Output is correct
33 Correct 399 ms 24724 KB Output is correct
34 Correct 396 ms 24568 KB Output is correct
35 Correct 273 ms 16120 KB Output is correct
36 Correct 279 ms 16248 KB Output is correct
37 Correct 284 ms 16120 KB Output is correct
38 Correct 276 ms 16120 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 4608 KB Output is correct
2 Correct 20 ms 4608 KB Output is correct
3 Correct 21 ms 4736 KB Output is correct
4 Correct 20 ms 4608 KB Output is correct
5 Correct 20 ms 4608 KB Output is correct
6 Correct 21 ms 4608 KB Output is correct
7 Correct 21 ms 4608 KB Output is correct
8 Correct 21 ms 4608 KB Output is correct
9 Correct 21 ms 4608 KB Output is correct
10 Correct 21 ms 4608 KB Output is correct
11 Correct 20 ms 4608 KB Output is correct
12 Correct 20 ms 4608 KB Output is correct
13 Correct 20 ms 4608 KB Output is correct
14 Correct 20 ms 4608 KB Output is correct
15 Correct 21 ms 4608 KB Output is correct
16 Correct 12 ms 2560 KB Output is correct
17 Correct 12 ms 2560 KB Output is correct
18 Correct 12 ms 2560 KB Output is correct
19 Correct 12 ms 2688 KB Output is correct
20 Correct 12 ms 2688 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 298 ms 16248 KB Output is correct
2 Correct 295 ms 16120 KB Output is correct
3 Correct 290 ms 16248 KB Output is correct
4 Correct 288 ms 16204 KB Output is correct
5 Correct 302 ms 16136 KB Output is correct
6 Correct 292 ms 16120 KB Output is correct
7 Correct 291 ms 16096 KB Output is correct
8 Correct 300 ms 16132 KB Output is correct
9 Correct 290 ms 16100 KB Output is correct
10 Correct 290 ms 16144 KB Output is correct
11 Correct 292 ms 16248 KB Output is correct
12 Correct 312 ms 16144 KB Output is correct
13 Correct 292 ms 16080 KB Output is correct
14 Correct 295 ms 16116 KB Output is correct
15 Correct 291 ms 16224 KB Output is correct
16 Correct 60 ms 6392 KB Output is correct
17 Correct 64 ms 6520 KB Output is correct
18 Correct 62 ms 6520 KB Output is correct
19 Correct 64 ms 6520 KB Output is correct
20 Correct 61 ms 6520 KB Output is correct
21 Correct 477 ms 23240 KB Output is correct
22 Correct 446 ms 23392 KB Output is correct
23 Correct 430 ms 23172 KB Output is correct
24 Correct 457 ms 23392 KB Output is correct
25 Correct 428 ms 23136 KB Output is correct
26 Correct 463 ms 22520 KB Output is correct
27 Correct 481 ms 22648 KB Output is correct
28 Correct 492 ms 22648 KB Output is correct
29 Correct 498 ms 22716 KB Output is correct
30 Correct 400 ms 24752 KB Output is correct
31 Correct 398 ms 24824 KB Output is correct
32 Correct 396 ms 24696 KB Output is correct
33 Correct 399 ms 24724 KB Output is correct
34 Correct 396 ms 24568 KB Output is correct
35 Correct 273 ms 16120 KB Output is correct
36 Correct 279 ms 16248 KB Output is correct
37 Correct 284 ms 16120 KB Output is correct
38 Correct 276 ms 16120 KB Output is correct
39 Correct 21 ms 4608 KB Output is correct
40 Correct 20 ms 4608 KB Output is correct
41 Correct 21 ms 4736 KB Output is correct
42 Correct 20 ms 4608 KB Output is correct
43 Correct 20 ms 4608 KB Output is correct
44 Correct 21 ms 4608 KB Output is correct
45 Correct 21 ms 4608 KB Output is correct
46 Correct 21 ms 4608 KB Output is correct
47 Correct 21 ms 4608 KB Output is correct
48 Correct 21 ms 4608 KB Output is correct
49 Correct 20 ms 4608 KB Output is correct
50 Correct 20 ms 4608 KB Output is correct
51 Correct 20 ms 4608 KB Output is correct
52 Correct 20 ms 4608 KB Output is correct
53 Correct 21 ms 4608 KB Output is correct
54 Correct 12 ms 2560 KB Output is correct
55 Correct 12 ms 2560 KB Output is correct
56 Correct 12 ms 2560 KB Output is correct
57 Correct 12 ms 2688 KB Output is correct
58 Correct 12 ms 2688 KB Output is correct
59 Correct 785 ms 25976 KB Output is correct
60 Incorrect 775 ms 26080 KB Output isn't correct
61 Halted 0 ms 0 KB -