oj.uz

Submission #231750

# Submission time Handle Problem Language Result Execution time Memory
231750 2020-05-14T15:13:46 Z kshitij_sodani Boat (APIO16_boat) C++17
100 / 100
 936 ms 26112 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;
				}
			}
			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==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: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 299 ms 16120 KB Output is correct
2 Correct 298 ms 16120 KB Output is correct
3 Correct 302 ms 16120 KB Output is correct
4 Correct 301 ms 16120 KB Output is correct
5 Correct 300 ms 16120 KB Output is correct
6 Correct 297 ms 16120 KB Output is correct
7 Correct 301 ms 16248 KB Output is correct
8 Correct 297 ms 16120 KB Output is correct
9 Correct 297 ms 16248 KB Output is correct
10 Correct 298 ms 16120 KB Output is correct
11 Correct 295 ms 16120 KB Output is correct
12 Correct 294 ms 16120 KB Output is correct
13 Correct 298 ms 16248 KB Output is correct
14 Correct 298 ms 16120 KB Output is correct
15 Correct 297 ms 16120 KB Output is correct
16 Correct 60 ms 6396 KB Output is correct
17 Correct 65 ms 6520 KB Output is correct
18 Correct 62 ms 6392 KB Output is correct
19 Correct 65 ms 6648 KB Output is correct
20 Correct 65 ms 6452 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 299 ms 16120 KB Output is correct
2 Correct 298 ms 16120 KB Output is correct
3 Correct 302 ms 16120 KB Output is correct
4 Correct 301 ms 16120 KB Output is correct
5 Correct 300 ms 16120 KB Output is correct
6 Correct 297 ms 16120 KB Output is correct
7 Correct 301 ms 16248 KB Output is correct
8 Correct 297 ms 16120 KB Output is correct
9 Correct 297 ms 16248 KB Output is correct
10 Correct 298 ms 16120 KB Output is correct
11 Correct 295 ms 16120 KB Output is correct
12 Correct 294 ms 16120 KB Output is correct
13 Correct 298 ms 16248 KB Output is correct
14 Correct 298 ms 16120 KB Output is correct
15 Correct 297 ms 16120 KB Output is correct
16 Correct 60 ms 6396 KB Output is correct
17 Correct 65 ms 6520 KB Output is correct
18 Correct 62 ms 6392 KB Output is correct
19 Correct 65 ms 6648 KB Output is correct
20 Correct 65 ms 6452 KB Output is correct
21 Correct 450 ms 23416 KB Output is correct
22 Correct 427 ms 23416 KB Output is correct
23 Correct 416 ms 23288 KB Output is correct
24 Correct 427 ms 23416 KB Output is correct
25 Correct 427 ms 23032 KB Output is correct
26 Correct 476 ms 22652 KB Output is correct
27 Correct 488 ms 22648 KB Output is correct
28 Correct 485 ms 22520 KB Output is correct
29 Correct 476 ms 22648 KB Output is correct
30 Correct 411 ms 24808 KB Output is correct
31 Correct 412 ms 24700 KB Output is correct
32 Correct 410 ms 24696 KB Output is correct
33 Correct 411 ms 24696 KB Output is correct
34 Correct 408 ms 24696 KB Output is correct
35 Correct 285 ms 16120 KB Output is correct
36 Correct 287 ms 16124 KB Output is correct
37 Correct 289 ms 16112 KB Output is correct
38 Correct 294 ms 16124 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 4736 KB Output is correct
2 Correct 21 ms 4608 KB Output is correct
3 Correct 21 ms 4600 KB Output is correct
4 Correct 21 ms 4608 KB Output is correct
5 Correct 21 ms 4608 KB Output is correct
6 Correct 22 ms 4736 KB Output is correct
7 Correct 22 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 22 ms 4600 KB Output is correct
12 Correct 20 ms 4608 KB Output is correct
13 Correct 21 ms 4608 KB Output is correct
14 Correct 20 ms 4608 KB Output is correct
15 Correct 23 ms 4600 KB Output is correct
16 Correct 12 ms 2560 KB Output is correct
17 Correct 13 ms 2688 KB Output is correct
18 Correct 12 ms 2688 KB Output is correct
19 Correct 12 ms 2560 KB Output is correct
20 Correct 12 ms 2688 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 299 ms 16120 KB Output is correct
2 Correct 298 ms 16120 KB Output is correct
3 Correct 302 ms 16120 KB Output is correct
4 Correct 301 ms 16120 KB Output is correct
5 Correct 300 ms 16120 KB Output is correct
6 Correct 297 ms 16120 KB Output is correct
7 Correct 301 ms 16248 KB Output is correct
8 Correct 297 ms 16120 KB Output is correct
9 Correct 297 ms 16248 KB Output is correct
10 Correct 298 ms 16120 KB Output is correct
11 Correct 295 ms 16120 KB Output is correct
12 Correct 294 ms 16120 KB Output is correct
13 Correct 298 ms 16248 KB Output is correct
14 Correct 298 ms 16120 KB Output is correct
15 Correct 297 ms 16120 KB Output is correct
16 Correct 60 ms 6396 KB Output is correct
17 Correct 65 ms 6520 KB Output is correct
18 Correct 62 ms 6392 KB Output is correct
19 Correct 65 ms 6648 KB Output is correct
20 Correct 65 ms 6452 KB Output is correct
21 Correct 450 ms 23416 KB Output is correct
22 Correct 427 ms 23416 KB Output is correct
23 Correct 416 ms 23288 KB Output is correct
24 Correct 427 ms 23416 KB Output is correct
25 Correct 427 ms 23032 KB Output is correct
26 Correct 476 ms 22652 KB Output is correct
27 Correct 488 ms 22648 KB Output is correct
28 Correct 485 ms 22520 KB Output is correct
29 Correct 476 ms 22648 KB Output is correct
30 Correct 411 ms 24808 KB Output is correct
31 Correct 412 ms 24700 KB Output is correct
32 Correct 410 ms 24696 KB Output is correct
33 Correct 411 ms 24696 KB Output is correct
34 Correct 408 ms 24696 KB Output is correct
35 Correct 285 ms 16120 KB Output is correct
36 Correct 287 ms 16124 KB Output is correct
37 Correct 289 ms 16112 KB Output is correct
38 Correct 294 ms 16124 KB Output is correct
39 Correct 21 ms 4736 KB Output is correct
40 Correct 21 ms 4608 KB Output is correct
41 Correct 21 ms 4600 KB Output is correct
42 Correct 21 ms 4608 KB Output is correct
43 Correct 21 ms 4608 KB Output is correct
44 Correct 22 ms 4736 KB Output is correct
45 Correct 22 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 22 ms 4600 KB Output is correct
50 Correct 20 ms 4608 KB Output is correct
51 Correct 21 ms 4608 KB Output is correct
52 Correct 20 ms 4608 KB Output is correct
53 Correct 23 ms 4600 KB Output is correct
54 Correct 12 ms 2560 KB Output is correct
55 Correct 13 ms 2688 KB Output is correct
56 Correct 12 ms 2688 KB Output is correct
57 Correct 12 ms 2560 KB Output is correct
58 Correct 12 ms 2688 KB Output is correct
59 Correct 814 ms 25976 KB Output is correct
60 Correct 798 ms 26064 KB Output is correct
61 Correct 806 ms 25848 KB Output is correct
62 Correct 802 ms 26104 KB Output is correct
63 Correct 812 ms 26104 KB Output is correct
64 Correct 903 ms 26024 KB Output is correct
65 Correct 936 ms 25976 KB Output is correct
66 Correct 911 ms 26016 KB Output is correct
67 Correct 897 ms 26104 KB Output is correct
68 Correct 897 ms 26064 KB Output is correct
69 Correct 759 ms 25920 KB Output is correct
70 Correct 742 ms 26104 KB Output is correct
71 Correct 743 ms 25848 KB Output is correct
72 Correct 745 ms 26112 KB Output is correct
73 Correct 750 ms 25980 KB Output is correct
74 Correct 95 ms 6648 KB Output is correct
75 Correct 91 ms 6648 KB Output is correct
76 Correct 96 ms 6776 KB Output is correct
77 Correct 93 ms 6776 KB Output is correct
78 Correct 98 ms 6648 KB Output is correct