oj.uz

Submission #231743

# Submission time Handle Problem Language Result Execution time Memory
231743 2020-05-14T15:02:56 Z kshitij_sodani Boat (APIO16_boat) C++17
58 / 100
 2000 ms 24976 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;
				//}
			}
		}
	}
}

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){
						
						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){
      ~^~~~~~~~~~~~
boat.cpp:139:8: warning: unused variable 'l' [-Wunused-variable]
    int l=0;
        ^

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1109 ms 16144 KB Output is correct
2 Correct 1105 ms 16308 KB Output is correct
3 Correct 1111 ms 16120 KB Output is correct
4 Correct 1111 ms 16264 KB Output is correct
5 Correct 1109 ms 16124 KB Output is correct
6 Correct 1107 ms 16120 KB Output is correct
7 Correct 1111 ms 16120 KB Output is correct
8 Correct 1104 ms 16248 KB Output is correct
9 Correct 1112 ms 16120 KB Output is correct
10 Correct 1100 ms 16120 KB Output is correct
11 Correct 1105 ms 16192 KB Output is correct
12 Correct 1107 ms 16120 KB Output is correct
13 Correct 1102 ms 16376 KB Output is correct
14 Correct 1102 ms 16160 KB Output is correct
15 Correct 1102 ms 16120 KB Output is correct
16 Correct 205 ms 6392 KB Output is correct
17 Correct 216 ms 6520 KB Output is correct
18 Correct 208 ms 6520 KB Output is correct
19 Correct 217 ms 6520 KB Output is correct
20 Correct 210 ms 6520 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1109 ms 16144 KB Output is correct
2 Correct 1105 ms 16308 KB Output is correct
3 Correct 1111 ms 16120 KB Output is correct
4 Correct 1111 ms 16264 KB Output is correct
5 Correct 1109 ms 16124 KB Output is correct
6 Correct 1107 ms 16120 KB Output is correct
7 Correct 1111 ms 16120 KB Output is correct
8 Correct 1104 ms 16248 KB Output is correct
9 Correct 1112 ms 16120 KB Output is correct
10 Correct 1100 ms 16120 KB Output is correct
11 Correct 1105 ms 16192 KB Output is correct
12 Correct 1107 ms 16120 KB Output is correct
13 Correct 1102 ms 16376 KB Output is correct
14 Correct 1102 ms 16160 KB Output is correct
15 Correct 1102 ms 16120 KB Output is correct
16 Correct 205 ms 6392 KB Output is correct
17 Correct 216 ms 6520 KB Output is correct
18 Correct 208 ms 6520 KB Output is correct
19 Correct 217 ms 6520 KB Output is correct
20 Correct 210 ms 6520 KB Output is correct
21 Correct 1584 ms 23476 KB Output is correct
22 Correct 1584 ms 23612 KB Output is correct
23 Correct 1543 ms 23232 KB Output is correct
24 Correct 1593 ms 23416 KB Output is correct
25 Correct 1547 ms 23128 KB Output is correct
26 Correct 1683 ms 22716 KB Output is correct
27 Correct 1722 ms 22876 KB Output is correct
28 Correct 1702 ms 22708 KB Output is correct
29 Correct 1720 ms 22776 KB Output is correct
30 Correct 1655 ms 24936 KB Output is correct
31 Correct 1645 ms 24756 KB Output is correct
32 Correct 1651 ms 24696 KB Output is correct
33 Correct 1652 ms 24976 KB Output is correct
34 Correct 1645 ms 24632 KB Output is correct
35 Correct 1082 ms 16120 KB Output is correct
36 Correct 1079 ms 16140 KB Output is correct
37 Correct 1089 ms 16120 KB Output is correct
38 Correct 1071 ms 16120 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 4600 KB Output is correct
2 Correct 35 ms 4608 KB Output is correct
3 Correct 35 ms 4600 KB Output is correct
4 Correct 36 ms 4608 KB Output is correct
5 Correct 37 ms 4600 KB Output is correct
6 Correct 39 ms 4600 KB Output is correct
7 Correct 39 ms 4600 KB Output is correct
8 Correct 39 ms 4728 KB Output is correct
9 Correct 39 ms 4608 KB Output is correct
10 Correct 39 ms 4608 KB Output is correct
11 Correct 36 ms 4600 KB Output is correct
12 Correct 35 ms 4600 KB Output is correct
13 Correct 36 ms 4600 KB Output is correct
14 Correct 35 ms 4608 KB Output is correct
15 Correct 36 ms 4608 KB Output is correct
16 Correct 18 ms 2560 KB Output is correct
17 Correct 18 ms 2560 KB Output is correct
18 Correct 19 ms 2560 KB Output is correct
19 Correct 18 ms 2560 KB Output is correct
20 Correct 19 ms 2688 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1109 ms 16144 KB Output is correct
2 Correct 1105 ms 16308 KB Output is correct
3 Correct 1111 ms 16120 KB Output is correct
4 Correct 1111 ms 16264 KB Output is correct
5 Correct 1109 ms 16124 KB Output is correct
6 Correct 1107 ms 16120 KB Output is correct
7 Correct 1111 ms 16120 KB Output is correct
8 Correct 1104 ms 16248 KB Output is correct
9 Correct 1112 ms 16120 KB Output is correct
10 Correct 1100 ms 16120 KB Output is correct
11 Correct 1105 ms 16192 KB Output is correct
12 Correct 1107 ms 16120 KB Output is correct
13 Correct 1102 ms 16376 KB Output is correct
14 Correct 1102 ms 16160 KB Output is correct
15 Correct 1102 ms 16120 KB Output is correct
16 Correct 205 ms 6392 KB Output is correct
17 Correct 216 ms 6520 KB Output is correct
18 Correct 208 ms 6520 KB Output is correct
19 Correct 217 ms 6520 KB Output is correct
20 Correct 210 ms 6520 KB Output is correct
21 Correct 1584 ms 23476 KB Output is correct
22 Correct 1584 ms 23612 KB Output is correct
23 Correct 1543 ms 23232 KB Output is correct
24 Correct 1593 ms 23416 KB Output is correct
25 Correct 1547 ms 23128 KB Output is correct
26 Correct 1683 ms 22716 KB Output is correct
27 Correct 1722 ms 22876 KB Output is correct
28 Correct 1702 ms 22708 KB Output is correct
29 Correct 1720 ms 22776 KB Output is correct
30 Correct 1655 ms 24936 KB Output is correct
31 Correct 1645 ms 24756 KB Output is correct
32 Correct 1651 ms 24696 KB Output is correct
33 Correct 1652 ms 24976 KB Output is correct
34 Correct 1645 ms 24632 KB Output is correct
35 Correct 1082 ms 16120 KB Output is correct
36 Correct 1079 ms 16140 KB Output is correct
37 Correct 1089 ms 16120 KB Output is correct
38 Correct 1071 ms 16120 KB Output is correct
39 Correct 36 ms 4600 KB Output is correct
40 Correct 35 ms 4608 KB Output is correct
41 Correct 35 ms 4600 KB Output is correct
42 Correct 36 ms 4608 KB Output is correct
43 Correct 37 ms 4600 KB Output is correct
44 Correct 39 ms 4600 KB Output is correct
45 Correct 39 ms 4600 KB Output is correct
46 Correct 39 ms 4728 KB Output is correct
47 Correct 39 ms 4608 KB Output is correct
48 Correct 39 ms 4608 KB Output is correct
49 Correct 36 ms 4600 KB Output is correct
50 Correct 35 ms 4600 KB Output is correct
51 Correct 36 ms 4600 KB Output is correct
52 Correct 35 ms 4608 KB Output is correct
53 Correct 36 ms 4608 KB Output is correct
54 Correct 18 ms 2560 KB Output is correct
55 Correct 18 ms 2560 KB Output is correct
56 Correct 19 ms 2560 KB Output is correct
57 Correct 18 ms 2560 KB Output is correct
58 Correct 19 ms 2688 KB Output is correct
59 Execution timed out 2086 ms 17828 KB Time limit exceeded
60 Halted 0 ms 0 KB -