oj.uz

Submission #956849

# Submission time Handle Problem Language Result Execution time Memory
956849 2024-04-02T14:43:55 Z 8pete8 Boat (APIO16_boat) C++17
100 / 100
 503 ms 33440 KB 
#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<limits.h>
#include<numeric> //gcd(a,b)
#include<cmath>
#include<set>
#include<cassert>
#include<algorithm>
#include<bitset> 
#include<stack>
using namespace std;
#define ll long long
#define f first
#define endl "\n"
#define s second
#define pii pair<int,int>
#define pppiiii pair<pii,pii>
#define ppii pair<int,pii>
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define pb push_back
//#define mp make_pair
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#define int int64_t
const int mxn=1000+10,minf=-1e18,mod=1e9+7,inf=1e18,lg=30;
int dp[mxn+10][mxn+10],ncr[mxn+10][mxn+10],sum[mxn+10][mxn+10];
int ncr2[mxn+10][mxn+10],choose[mxn+10][mxn+10];
int fac[mxn+10];
inline int in() {
	int result = 0;
	char ch = getchar_unlocked();
	while (true) {
		if(ch >= '0' && ch <= '9')
			break;
		ch = getchar_unlocked();
	}
	result = ch-'0';
	while(true) {
		ch = getchar_unlocked();
		if (ch < '0' || ch > '9')
			break;
		result = result*10 + (ch - '0');
	}
	return result;
}
inline void out(int x) {
	int rev=x, c=0;
	if(!x) {
		putchar_unlocked('0');
		return;
	}
	while(!(rev%10)) {
		++c;
		rev/=10;
	}
	rev=0;
	while(x) {
		rev=rev*10+x%10;
		x/=10;
	}
	while(rev) {
		putchar_unlocked(rev%10+'0');
		rev/=10;
	}
	while(c--)
		putchar_unlocked('0');
}
int inv(int x){
	int ex=mod-2,ans=1;
	while(ex){
		if(ex&1)ans=(ans*x)%mod;
		x=(x*x)%mod;
		ex>>=1;
	}
	return ans;
}
int get(int i,int j){
	if(choose[i][j]!=-1)return choose[i][j];
	int sum=0;
	for(int k=2;k<=j;k++){
		int x=(ncr2[i][k]*(ncr[j-2][k-2]))%mod;
		if(x)sum=(sum+x)%mod;
		else break;
	}
	choose[i][j]=sum;
	return choose[i][j];
}
int32_t main(){
	fastio
	int n=in();
	vector<pii>v(n+1);
	vector<int>com;
	for(int i=1;i<=n;i++){
		v[i].f=in();
		v[i].s=in();
		v[i].f--;
	}
	for(int i=1;i<=n;i++)com.pb(v[i].f),com.pb(v[i].s);
	sort(all(com));
	com.erase(unique(all(com)),com.end());
	/*
	ncr i,j->(i,j+1)
	x=(x*(len-j+1))*inv(j)
	*/
	ncr[0][0]=1;
	for(int i=1;i<=n;i++)for(int j=0;j<=n;j++){
		if(j)ncr[i][j]=(ncr[i-1][j]+ncr[i-1][j-1])%mod;
		else ncr[i][j]=ncr[i-1][j];
	}
	for(int i=1;i<com.size();i++){
		int len=com[i]-com[i-1];
		ncr2[i][1]=len;	
		for(int j=2;j<=min(n,len);j++)ncr2[i][j]=((ncr2[i][j-1]*(len-j+1))%mod*inv(j))%mod;
	}
	for(int i=1;i<com.size();i++)for(int j=2;j<=n;j++)choose[i][j]=-1;
	for(int i=1;i<com.size();i++)choose[i][1]=ncr2[i][1];
	for(int i=0;i<=2*n;i++)sum[0][i]=1;
	for(int i=0;i<=2*n;i++)sum[i][0]=1;
	for(int i=1;i<=n;i++){
		for(int j=1;j<com.size();j++){
			if(com[j]>v[i].f&&com[j]<=v[i].s){
				if(choose[j][1]==1)dp[i][j]=sum[i-1][j-1];
				else{
					int cnt=0;
					for(int back=i;back>=1;back--){
						if(com[j]>v[back].f&&com[j]<=v[back].s){
							cnt++;
							dp[i][j]=(dp[i][j]+(sum[back-1][j-1]*get(j,cnt))%mod)%mod;
						}
					}
				}
			}
			sum[i][j]=((dp[i][j]+(sum[i-1][j]+sum[i][j-1])%mod)%mod-sum[i-1][j-1]+mod)%mod;
		}
	}
	out(sum[n][com.size()-1]-1);
}
/*
*/

Compilation message

boat.cpp: In function 'int32_t main()':
boat.cpp:118:15: warning: comparison of integer expressions of different signedness: 'int64_t' {aka 'long int'} and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  118 |  for(int i=1;i<com.size();i++){
      |              ~^~~~~~~~~~~
boat.cpp:123:15: warning: comparison of integer expressions of different signedness: 'int64_t' {aka 'long int'} and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  123 |  for(int i=1;i<com.size();i++)for(int j=2;j<=n;j++)choose[i][j]=-1;
      |              ~^~~~~~~~~~~
boat.cpp:124:15: warning: comparison of integer expressions of different signedness: 'int64_t' {aka 'long int'} and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  124 |  for(int i=1;i<com.size();i++)choose[i][1]=ncr2[i][1];
      |              ~^~~~~~~~~~~
boat.cpp:128:16: warning: comparison of integer expressions of different signedness: 'int64_t' {aka 'long int'} and 'std::vector<long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  128 |   for(int j=1;j<com.size();j++){
      |               ~^~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 31060 KB Output is correct
2 Correct 40 ms 31312 KB Output is correct
3 Correct 40 ms 31060 KB Output is correct
4 Correct 40 ms 31056 KB Output is correct
5 Correct 40 ms 31060 KB Output is correct
6 Correct 43 ms 33108 KB Output is correct
7 Correct 40 ms 33320 KB Output is correct
8 Correct 41 ms 33112 KB Output is correct
9 Correct 41 ms 33116 KB Output is correct
10 Correct 40 ms 33104 KB Output is correct
11 Correct 40 ms 33028 KB Output is correct
12 Correct 41 ms 33108 KB Output is correct
13 Correct 41 ms 33104 KB Output is correct
14 Correct 42 ms 33020 KB Output is correct
15 Correct 41 ms 33116 KB Output is correct
16 Correct 11 ms 23132 KB Output is correct
17 Correct 10 ms 23128 KB Output is correct
18 Correct 10 ms 23384 KB Output is correct
19 Correct 11 ms 23004 KB Output is correct
20 Correct 10 ms 23132 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 31060 KB Output is correct
2 Correct 40 ms 31312 KB Output is correct
3 Correct 40 ms 31060 KB Output is correct
4 Correct 40 ms 31056 KB Output is correct
5 Correct 40 ms 31060 KB Output is correct
6 Correct 43 ms 33108 KB Output is correct
7 Correct 40 ms 33320 KB Output is correct
8 Correct 41 ms 33112 KB Output is correct
9 Correct 41 ms 33116 KB Output is correct
10 Correct 40 ms 33104 KB Output is correct
11 Correct 40 ms 33028 KB Output is correct
12 Correct 41 ms 33108 KB Output is correct
13 Correct 41 ms 33104 KB Output is correct
14 Correct 42 ms 33020 KB Output is correct
15 Correct 41 ms 33116 KB Output is correct
16 Correct 11 ms 23132 KB Output is correct
17 Correct 10 ms 23128 KB Output is correct
18 Correct 10 ms 23384 KB Output is correct
19 Correct 11 ms 23004 KB Output is correct
20 Correct 10 ms 23132 KB Output is correct
21 Correct 116 ms 32236 KB Output is correct
22 Correct 109 ms 32280 KB Output is correct
23 Correct 99 ms 32340 KB Output is correct
24 Correct 119 ms 32308 KB Output is correct
25 Correct 123 ms 32300 KB Output is correct
26 Correct 185 ms 33108 KB Output is correct
27 Correct 180 ms 32848 KB Output is correct
28 Correct 214 ms 33044 KB Output is correct
29 Correct 201 ms 33052 KB Output is correct
30 Correct 38 ms 31312 KB Output is correct
31 Correct 40 ms 31244 KB Output is correct
32 Correct 39 ms 31312 KB Output is correct
33 Correct 39 ms 31344 KB Output is correct
34 Correct 38 ms 31316 KB Output is correct
35 Correct 37 ms 31244 KB Output is correct
36 Correct 40 ms 31224 KB Output is correct
37 Correct 39 ms 31292 KB Output is correct
38 Correct 38 ms 31244 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 15196 KB Output is correct
2 Correct 6 ms 15196 KB Output is correct
3 Correct 6 ms 15196 KB Output is correct
4 Correct 7 ms 15332 KB Output is correct
5 Correct 6 ms 15196 KB Output is correct
6 Correct 8 ms 15332 KB Output is correct
7 Correct 8 ms 15196 KB Output is correct
8 Correct 8 ms 15196 KB Output is correct
9 Correct 8 ms 15196 KB Output is correct
10 Correct 9 ms 15332 KB Output is correct
11 Correct 6 ms 15264 KB Output is correct
12 Correct 6 ms 15196 KB Output is correct
13 Correct 6 ms 15192 KB Output is correct
14 Correct 6 ms 15192 KB Output is correct
15 Correct 6 ms 15196 KB Output is correct
16 Correct 4 ms 15328 KB Output is correct
17 Correct 5 ms 15192 KB Output is correct
18 Correct 4 ms 15196 KB Output is correct
19 Correct 4 ms 15196 KB Output is correct
20 Correct 4 ms 15452 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 31060 KB Output is correct
2 Correct 40 ms 31312 KB Output is correct
3 Correct 40 ms 31060 KB Output is correct
4 Correct 40 ms 31056 KB Output is correct
5 Correct 40 ms 31060 KB Output is correct
6 Correct 43 ms 33108 KB Output is correct
7 Correct 40 ms 33320 KB Output is correct
8 Correct 41 ms 33112 KB Output is correct
9 Correct 41 ms 33116 KB Output is correct
10 Correct 40 ms 33104 KB Output is correct
11 Correct 40 ms 33028 KB Output is correct
12 Correct 41 ms 33108 KB Output is correct
13 Correct 41 ms 33104 KB Output is correct
14 Correct 42 ms 33020 KB Output is correct
15 Correct 41 ms 33116 KB Output is correct
16 Correct 11 ms 23132 KB Output is correct
17 Correct 10 ms 23128 KB Output is correct
18 Correct 10 ms 23384 KB Output is correct
19 Correct 11 ms 23004 KB Output is correct
20 Correct 10 ms 23132 KB Output is correct
21 Correct 116 ms 32236 KB Output is correct
22 Correct 109 ms 32280 KB Output is correct
23 Correct 99 ms 32340 KB Output is correct
24 Correct 119 ms 32308 KB Output is correct
25 Correct 123 ms 32300 KB Output is correct
26 Correct 185 ms 33108 KB Output is correct
27 Correct 180 ms 32848 KB Output is correct
28 Correct 214 ms 33044 KB Output is correct
29 Correct 201 ms 33052 KB Output is correct
30 Correct 38 ms 31312 KB Output is correct
31 Correct 40 ms 31244 KB Output is correct
32 Correct 39 ms 31312 KB Output is correct
33 Correct 39 ms 31344 KB Output is correct
34 Correct 38 ms 31316 KB Output is correct
35 Correct 37 ms 31244 KB Output is correct
36 Correct 40 ms 31224 KB Output is correct
37 Correct 39 ms 31292 KB Output is correct
38 Correct 38 ms 31244 KB Output is correct
39 Correct 6 ms 15196 KB Output is correct
40 Correct 6 ms 15196 KB Output is correct
41 Correct 6 ms 15196 KB Output is correct
42 Correct 7 ms 15332 KB Output is correct
43 Correct 6 ms 15196 KB Output is correct
44 Correct 8 ms 15332 KB Output is correct
45 Correct 8 ms 15196 KB Output is correct
46 Correct 8 ms 15196 KB Output is correct
47 Correct 8 ms 15196 KB Output is correct
48 Correct 9 ms 15332 KB Output is correct
49 Correct 6 ms 15264 KB Output is correct
50 Correct 6 ms 15196 KB Output is correct
51 Correct 6 ms 15192 KB Output is correct
52 Correct 6 ms 15192 KB Output is correct
53 Correct 6 ms 15196 KB Output is correct
54 Correct 4 ms 15328 KB Output is correct
55 Correct 5 ms 15192 KB Output is correct
56 Correct 4 ms 15196 KB Output is correct
57 Correct 4 ms 15196 KB Output is correct
58 Correct 4 ms 15452 KB Output is correct
59 Correct 264 ms 32244 KB Output is correct
60 Correct 247 ms 32220 KB Output is correct
61 Correct 247 ms 32360 KB Output is correct
62 Correct 286 ms 32336 KB Output is correct
63 Correct 257 ms 32340 KB Output is correct
64 Correct 474 ms 33108 KB Output is correct
65 Correct 503 ms 33440 KB Output is correct
66 Correct 493 ms 33108 KB Output is correct
67 Correct 470 ms 33260 KB Output is correct
68 Correct 492 ms 33224 KB Output is correct
69 Correct 242 ms 32264 KB Output is correct
70 Correct 227 ms 32336 KB Output is correct
71 Correct 231 ms 32596 KB Output is correct
72 Correct 240 ms 32236 KB Output is correct
73 Correct 243 ms 32332 KB Output is correct
74 Correct 33 ms 23388 KB Output is correct
75 Correct 34 ms 23376 KB Output is correct
76 Correct 33 ms 23388 KB Output is correct
77 Correct 33 ms 23332 KB Output is correct
78 Correct 34 ms 23388 KB Output is correct