oj.uz

Submission #231744

# Submission time Handle Problem Language Result Execution time Memory
231744 2020-05-14T15:05:34 Z kshitij_sodani Boat (APIO16_boat) C++17
100 / 100
 1218 ms 26180 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==4){
					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==4){
						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 419 ms 16120 KB Output is correct
2 Correct 422 ms 16124 KB Output is correct
3 Correct 421 ms 16124 KB Output is correct
4 Correct 421 ms 16152 KB Output is correct
5 Correct 417 ms 16120 KB Output is correct
6 Correct 433 ms 16120 KB Output is correct
7 Correct 424 ms 16248 KB Output is correct
8 Correct 418 ms 16120 KB Output is correct
9 Correct 415 ms 16120 KB Output is correct
10 Correct 414 ms 16120 KB Output is correct
11 Correct 422 ms 16040 KB Output is correct
12 Correct 423 ms 16120 KB Output is correct
13 Correct 419 ms 16252 KB Output is correct
14 Correct 422 ms 16216 KB Output is correct
15 Correct 425 ms 16120 KB Output is correct
16 Correct 82 ms 6392 KB Output is correct
17 Correct 88 ms 6524 KB Output is correct
18 Correct 84 ms 6392 KB Output is correct
19 Correct 88 ms 6520 KB Output is correct
20 Correct 86 ms 6520 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 419 ms 16120 KB Output is correct
2 Correct 422 ms 16124 KB Output is correct
3 Correct 421 ms 16124 KB Output is correct
4 Correct 421 ms 16152 KB Output is correct
5 Correct 417 ms 16120 KB Output is correct
6 Correct 433 ms 16120 KB Output is correct
7 Correct 424 ms 16248 KB Output is correct
8 Correct 418 ms 16120 KB Output is correct
9 Correct 415 ms 16120 KB Output is correct
10 Correct 414 ms 16120 KB Output is correct
11 Correct 422 ms 16040 KB Output is correct
12 Correct 423 ms 16120 KB Output is correct
13 Correct 419 ms 16252 KB Output is correct
14 Correct 422 ms 16216 KB Output is correct
15 Correct 425 ms 16120 KB Output is correct
16 Correct 82 ms 6392 KB Output is correct
17 Correct 88 ms 6524 KB Output is correct
18 Correct 84 ms 6392 KB Output is correct
19 Correct 88 ms 6520 KB Output is correct
20 Correct 86 ms 6520 KB Output is correct
21 Correct 559 ms 23288 KB Output is correct
22 Correct 555 ms 23544 KB Output is correct
23 Correct 530 ms 23288 KB Output is correct
24 Correct 564 ms 23544 KB Output is correct
25 Correct 539 ms 23288 KB Output is correct
26 Correct 584 ms 22520 KB Output is correct
27 Correct 597 ms 22772 KB Output is correct
28 Correct 596 ms 22904 KB Output is correct
29 Correct 597 ms 22788 KB Output is correct
30 Correct 580 ms 24824 KB Output is correct
31 Correct 574 ms 24696 KB Output is correct
32 Correct 586 ms 24824 KB Output is correct
33 Correct 584 ms 24804 KB Output is correct
34 Correct 584 ms 24696 KB Output is correct
35 Correct 402 ms 16120 KB Output is correct
36 Correct 401 ms 16248 KB Output is correct
37 Correct 409 ms 16120 KB Output is correct
38 Correct 400 ms 16120 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 4608 KB Output is correct
2 Correct 23 ms 4608 KB Output is correct
3 Correct 22 ms 4608 KB Output is correct
4 Correct 23 ms 4608 KB Output is correct
5 Correct 22 ms 4608 KB Output is correct
6 Correct 26 ms 4608 KB Output is correct
7 Correct 23 ms 4600 KB Output is correct
8 Correct 24 ms 4640 KB Output is correct
9 Correct 23 ms 4608 KB Output is correct
10 Correct 23 ms 4608 KB Output is correct
11 Correct 22 ms 4608 KB Output is correct
12 Correct 22 ms 4608 KB Output is correct
13 Correct 22 ms 4608 KB Output is correct
14 Correct 24 ms 4608 KB Output is correct
15 Correct 22 ms 4608 KB Output is correct
16 Correct 13 ms 2560 KB Output is correct
17 Correct 13 ms 2560 KB Output is correct
18 Correct 13 ms 2560 KB Output is correct
19 Correct 13 ms 2560 KB Output is correct
20 Correct 13 ms 2688 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 419 ms 16120 KB Output is correct
2 Correct 422 ms 16124 KB Output is correct
3 Correct 421 ms 16124 KB Output is correct
4 Correct 421 ms 16152 KB Output is correct
5 Correct 417 ms 16120 KB Output is correct
6 Correct 433 ms 16120 KB Output is correct
7 Correct 424 ms 16248 KB Output is correct
8 Correct 418 ms 16120 KB Output is correct
9 Correct 415 ms 16120 KB Output is correct
10 Correct 414 ms 16120 KB Output is correct
11 Correct 422 ms 16040 KB Output is correct
12 Correct 423 ms 16120 KB Output is correct
13 Correct 419 ms 16252 KB Output is correct
14 Correct 422 ms 16216 KB Output is correct
15 Correct 425 ms 16120 KB Output is correct
16 Correct 82 ms 6392 KB Output is correct
17 Correct 88 ms 6524 KB Output is correct
18 Correct 84 ms 6392 KB Output is correct
19 Correct 88 ms 6520 KB Output is correct
20 Correct 86 ms 6520 KB Output is correct
21 Correct 559 ms 23288 KB Output is correct
22 Correct 555 ms 23544 KB Output is correct
23 Correct 530 ms 23288 KB Output is correct
24 Correct 564 ms 23544 KB Output is correct
25 Correct 539 ms 23288 KB Output is correct
26 Correct 584 ms 22520 KB Output is correct
27 Correct 597 ms 22772 KB Output is correct
28 Correct 596 ms 22904 KB Output is correct
29 Correct 597 ms 22788 KB Output is correct
30 Correct 580 ms 24824 KB Output is correct
31 Correct 574 ms 24696 KB Output is correct
32 Correct 586 ms 24824 KB Output is correct
33 Correct 584 ms 24804 KB Output is correct
34 Correct 584 ms 24696 KB Output is correct
35 Correct 402 ms 16120 KB Output is correct
36 Correct 401 ms 16248 KB Output is correct
37 Correct 409 ms 16120 KB Output is correct
38 Correct 400 ms 16120 KB Output is correct
39 Correct 23 ms 4608 KB Output is correct
40 Correct 23 ms 4608 KB Output is correct
41 Correct 22 ms 4608 KB Output is correct
42 Correct 23 ms 4608 KB Output is correct
43 Correct 22 ms 4608 KB Output is correct
44 Correct 26 ms 4608 KB Output is correct
45 Correct 23 ms 4600 KB Output is correct
46 Correct 24 ms 4640 KB Output is correct
47 Correct 23 ms 4608 KB Output is correct
48 Correct 23 ms 4608 KB Output is correct
49 Correct 22 ms 4608 KB Output is correct
50 Correct 22 ms 4608 KB Output is correct
51 Correct 22 ms 4608 KB Output is correct
52 Correct 24 ms 4608 KB Output is correct
53 Correct 22 ms 4608 KB Output is correct
54 Correct 13 ms 2560 KB Output is correct
55 Correct 13 ms 2560 KB Output is correct
56 Correct 13 ms 2560 KB Output is correct
57 Correct 13 ms 2560 KB Output is correct
58 Correct 13 ms 2688 KB Output is correct
59 Correct 1093 ms 25976 KB Output is correct
60 Correct 1072 ms 25940 KB Output is correct
61 Correct 1073 ms 25976 KB Output is correct
62 Correct 1080 ms 26100 KB Output is correct
63 Correct 1081 ms 25848 KB Output is correct
64 Correct 1181 ms 25972 KB Output is correct
65 Correct 1190 ms 25976 KB Output is correct
66 Correct 1201 ms 26180 KB Output is correct
67 Correct 1209 ms 26104 KB Output is correct
68 Correct 1218 ms 25976 KB Output is correct
69 Correct 1012 ms 25976 KB Output is correct
70 Correct 1012 ms 26052 KB Output is correct
71 Correct 1010 ms 26172 KB Output is correct
72 Correct 1022 ms 25976 KB Output is correct
73 Correct 1022 ms 26104 KB Output is correct
74 Correct 119 ms 6648 KB Output is correct
75 Correct 118 ms 6776 KB Output is correct
76 Correct 120 ms 6772 KB Output is correct
77 Correct 121 ms 6648 KB Output is correct
78 Correct 121 ms 6648 KB Output is correct