oj.uz

Submission #231745

# Submission time Handle Problem Language Result Execution time Memory
231745 2020-05-14T15:06:20 Z kshitij_sodani Boat (APIO16_boat) C++17
100 / 100
 908 ms 26104 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 297 ms 16248 KB Output is correct
2 Correct 295 ms 16120 KB Output is correct
3 Correct 295 ms 16120 KB Output is correct
4 Correct 297 ms 16120 KB Output is correct
5 Correct 299 ms 16248 KB Output is correct
6 Correct 299 ms 16120 KB Output is correct
7 Correct 298 ms 16120 KB Output is correct
8 Correct 297 ms 16120 KB Output is correct
9 Correct 297 ms 16120 KB Output is correct
10 Correct 293 ms 16120 KB Output is correct
11 Correct 300 ms 16248 KB Output is correct
12 Correct 297 ms 16120 KB Output is correct
13 Correct 297 ms 16120 KB Output is correct
14 Correct 297 ms 16164 KB Output is correct
15 Correct 299 ms 16120 KB Output is correct
16 Correct 60 ms 6392 KB Output is correct
17 Correct 64 ms 6648 KB Output is correct
18 Correct 62 ms 6392 KB Output is correct
19 Correct 65 ms 6520 KB Output is correct
20 Correct 62 ms 6520 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 297 ms 16248 KB Output is correct
2 Correct 295 ms 16120 KB Output is correct
3 Correct 295 ms 16120 KB Output is correct
4 Correct 297 ms 16120 KB Output is correct
5 Correct 299 ms 16248 KB Output is correct
6 Correct 299 ms 16120 KB Output is correct
7 Correct 298 ms 16120 KB Output is correct
8 Correct 297 ms 16120 KB Output is correct
9 Correct 297 ms 16120 KB Output is correct
10 Correct 293 ms 16120 KB Output is correct
11 Correct 300 ms 16248 KB Output is correct
12 Correct 297 ms 16120 KB Output is correct
13 Correct 297 ms 16120 KB Output is correct
14 Correct 297 ms 16164 KB Output is correct
15 Correct 299 ms 16120 KB Output is correct
16 Correct 60 ms 6392 KB Output is correct
17 Correct 64 ms 6648 KB Output is correct
18 Correct 62 ms 6392 KB Output is correct
19 Correct 65 ms 6520 KB Output is correct
20 Correct 62 ms 6520 KB Output is correct
21 Correct 431 ms 23392 KB Output is correct
22 Correct 434 ms 23416 KB Output is correct
23 Correct 418 ms 23300 KB Output is correct
24 Correct 435 ms 23416 KB Output is correct
25 Correct 423 ms 23160 KB Output is correct
26 Correct 467 ms 22648 KB Output is correct
27 Correct 476 ms 22648 KB Output is correct
28 Correct 479 ms 22652 KB Output is correct
29 Correct 482 ms 22776 KB Output is correct
30 Correct 406 ms 24908 KB Output is correct
31 Correct 409 ms 24808 KB Output is correct
32 Correct 408 ms 24692 KB Output is correct
33 Correct 418 ms 24696 KB Output is correct
34 Correct 408 ms 24696 KB Output is correct
35 Correct 286 ms 16120 KB Output is correct
36 Correct 286 ms 16120 KB Output is correct
37 Correct 287 ms 16120 KB Output is correct
38 Correct 291 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 23 ms 4600 KB Output is correct
3 Correct 20 ms 4608 KB Output is correct
4 Correct 31 ms 4608 KB Output is correct
5 Correct 22 ms 4540 KB Output is correct
6 Correct 21 ms 4608 KB Output is correct
7 Correct 21 ms 4608 KB Output is correct
8 Correct 22 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 21 ms 4608 KB Output is correct
12 Correct 20 ms 4608 KB Output is correct
13 Correct 22 ms 4608 KB Output is correct
14 Correct 21 ms 4608 KB Output is correct
15 Correct 20 ms 4608 KB Output is correct
16 Correct 12 ms 2688 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 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 297 ms 16248 KB Output is correct
2 Correct 295 ms 16120 KB Output is correct
3 Correct 295 ms 16120 KB Output is correct
4 Correct 297 ms 16120 KB Output is correct
5 Correct 299 ms 16248 KB Output is correct
6 Correct 299 ms 16120 KB Output is correct
7 Correct 298 ms 16120 KB Output is correct
8 Correct 297 ms 16120 KB Output is correct
9 Correct 297 ms 16120 KB Output is correct
10 Correct 293 ms 16120 KB Output is correct
11 Correct 300 ms 16248 KB Output is correct
12 Correct 297 ms 16120 KB Output is correct
13 Correct 297 ms 16120 KB Output is correct
14 Correct 297 ms 16164 KB Output is correct
15 Correct 299 ms 16120 KB Output is correct
16 Correct 60 ms 6392 KB Output is correct
17 Correct 64 ms 6648 KB Output is correct
18 Correct 62 ms 6392 KB Output is correct
19 Correct 65 ms 6520 KB Output is correct
20 Correct 62 ms 6520 KB Output is correct
21 Correct 431 ms 23392 KB Output is correct
22 Correct 434 ms 23416 KB Output is correct
23 Correct 418 ms 23300 KB Output is correct
24 Correct 435 ms 23416 KB Output is correct
25 Correct 423 ms 23160 KB Output is correct
26 Correct 467 ms 22648 KB Output is correct
27 Correct 476 ms 22648 KB Output is correct
28 Correct 479 ms 22652 KB Output is correct
29 Correct 482 ms 22776 KB Output is correct
30 Correct 406 ms 24908 KB Output is correct
31 Correct 409 ms 24808 KB Output is correct
32 Correct 408 ms 24692 KB Output is correct
33 Correct 418 ms 24696 KB Output is correct
34 Correct 408 ms 24696 KB Output is correct
35 Correct 286 ms 16120 KB Output is correct
36 Correct 286 ms 16120 KB Output is correct
37 Correct 287 ms 16120 KB Output is correct
38 Correct 291 ms 16120 KB Output is correct
39 Correct 21 ms 4608 KB Output is correct
40 Correct 23 ms 4600 KB Output is correct
41 Correct 20 ms 4608 KB Output is correct
42 Correct 31 ms 4608 KB Output is correct
43 Correct 22 ms 4540 KB Output is correct
44 Correct 21 ms 4608 KB Output is correct
45 Correct 21 ms 4608 KB Output is correct
46 Correct 22 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 21 ms 4608 KB Output is correct
50 Correct 20 ms 4608 KB Output is correct
51 Correct 22 ms 4608 KB Output is correct
52 Correct 21 ms 4608 KB Output is correct
53 Correct 20 ms 4608 KB Output is correct
54 Correct 12 ms 2688 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 2560 KB Output is correct
58 Correct 12 ms 2688 KB Output is correct
59 Correct 803 ms 26084 KB Output is correct
60 Correct 809 ms 25976 KB Output is correct
61 Correct 789 ms 25976 KB Output is correct
62 Correct 800 ms 25976 KB Output is correct
63 Correct 810 ms 25848 KB Output is correct
64 Correct 905 ms 25976 KB Output is correct
65 Correct 906 ms 26020 KB Output is correct
66 Correct 903 ms 26104 KB Output is correct
67 Correct 908 ms 26036 KB Output is correct
68 Correct 900 ms 26104 KB Output is correct
69 Correct 754 ms 25976 KB Output is correct
70 Correct 745 ms 25848 KB Output is correct
71 Correct 732 ms 25976 KB Output is correct
72 Correct 750 ms 25980 KB Output is correct
73 Correct 744 ms 26104 KB Output is correct
74 Correct 94 ms 6648 KB Output is correct
75 Correct 99 ms 6776 KB Output is correct
76 Correct 105 ms 6648 KB Output is correct
77 Correct 96 ms 6648 KB Output is correct
78 Correct 99 ms 6776 KB Output is correct