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Submission #113387

# Submission time Handle Problem Language Result Execution time Memory
113387 2019-05-25T09:22:01 Z 임유진(#2858) Boat (APIO16_boat) C++14
100 / 100
 1379 ms 14308 KB 
#include<stdio.h>
#include<algorithm>

using namespace std;

#define MAXN 500
#define MOD 1000000007

long long inv[MAXN+1];
long long iCj[MAXN][MAXN], diCj[2*MAXN][MAXN+1];
long long g[MAXN][2*MAXN];
long long dp[MAXN+1][2*MAXN];

int main(){
	int N;
	int a[MAXN+1], b[MAXN+1];
	int c[2*MAXN], cn=1;
	int d[2*MAXN];

	scanf("%d", &N);
	for(int i=1; i<=N; i++) scanf("%d%d", a+i, b+i);

	for(int i=1; i<=N; i++){
		c[i*2-2]=a[i]-1;
		c[i*2-1]=b[i];
	}
	sort(c, c+2*N);
	for(int i=1; i<2*N; i++) if(c[i]!=c[i-1]) c[cn++]=c[i];
	for(int i=1; i<cn; i++) d[i]=c[i]-c[i-1];

	for(int i=1; i<=N; i++){
		inv[i]=1;
		long long p=i;
		for(int j=0; (1<<j)<=MOD-2; j++){
			if(((MOD-2)&(1<<j))!=0) inv[i]=inv[i]*p%MOD;
			p=p*p%MOD;
		}
	}
	for(int i=0; i<N; i++) iCj[i][0]=1;
	for(int i=1; i<N; i++) for(int j=1; j<=i; j++) iCj[i][j]=(iCj[i-1][j-1]+iCj[i-1][j])%MOD;
	for(int i=1; i<cn; i++){
		diCj[i][0]=1;
		for(int j=1; j<=d[i]&&j<=N; j++){
			diCj[i][j]=diCj[i][j-1]*(d[i]-j+1)%MOD*inv[j]%MOD;
			//printf("%lld ", diCj[i][j]);
		}
		//printf("\n");
	}
	for(int i=0; i<N; i++) for(int j=1; j<cn; j++){
		g[i][j]=0;
		for(int k=0; k<=i; k++)
			g[i][j]=(g[i][j]+iCj[i][k]*diCj[j][k+1]%MOD)%MOD;
	}

	/*
	for(int i=0; i<N; i++){
		for(int j=1; j<cn; j++) printf("%lld ", g[i][j]);
		printf("\n");
	}
	*/

	for(int i=0; i<cn; i++) dp[0][i]=1;
	for(int i=1; i<=N; i++) dp[i][0]=1;
	for(int i=1; i<=N; i++) for(int j=1; j<cn; j++){
		dp[i][j]=dp[i][j-1];
		int f=0;
		for(int k=i; k>0; k--) if(a[k]<=c[j-1]+1&&c[j]<=b[k]){
			//printf("%lld{%d} ", dp[i][j], f);
			dp[i][j]=(dp[i][j]+g[f++][j]*dp[k-1][j-1]%MOD)%MOD;
		}
		//printf("(%d %d %lld)\n", i, j, dp[i][j]);
	}

	printf("%lld", (dp[N][cn-1]-1+MOD)%MOD);
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:20:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &N);
  ~~~~~^~~~~~~~~~
boat.cpp:21:31: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for(int i=1; i<=N; i++) scanf("%d%d", a+i, b+i);
                          ~~~~~^~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 804 ms 14200 KB Output is correct
2 Correct 819 ms 14072 KB Output is correct
3 Correct 826 ms 14048 KB Output is correct
4 Correct 834 ms 14104 KB Output is correct
5 Correct 855 ms 14200 KB Output is correct
6 Correct 746 ms 14200 KB Output is correct
7 Correct 747 ms 14124 KB Output is correct
8 Correct 765 ms 14216 KB Output is correct
9 Correct 749 ms 14024 KB Output is correct
10 Correct 752 ms 14276 KB Output is correct
11 Correct 773 ms 14076 KB Output is correct
12 Correct 758 ms 14112 KB Output is correct
13 Correct 844 ms 14072 KB Output is correct
14 Correct 749 ms 14200 KB Output is correct
15 Correct 760 ms 14288 KB Output is correct
16 Correct 166 ms 8228 KB Output is correct
17 Correct 175 ms 8568 KB Output is correct
18 Correct 192 ms 8336 KB Output is correct
19 Correct 180 ms 8448 KB Output is correct
20 Correct 171 ms 8524 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 804 ms 14200 KB Output is correct
2 Correct 819 ms 14072 KB Output is correct
3 Correct 826 ms 14048 KB Output is correct
4 Correct 834 ms 14104 KB Output is correct
5 Correct 855 ms 14200 KB Output is correct
6 Correct 746 ms 14200 KB Output is correct
7 Correct 747 ms 14124 KB Output is correct
8 Correct 765 ms 14216 KB Output is correct
9 Correct 749 ms 14024 KB Output is correct
10 Correct 752 ms 14276 KB Output is correct
11 Correct 773 ms 14076 KB Output is correct
12 Correct 758 ms 14112 KB Output is correct
13 Correct 844 ms 14072 KB Output is correct
14 Correct 749 ms 14200 KB Output is correct
15 Correct 760 ms 14288 KB Output is correct
16 Correct 166 ms 8228 KB Output is correct
17 Correct 175 ms 8568 KB Output is correct
18 Correct 192 ms 8336 KB Output is correct
19 Correct 180 ms 8448 KB Output is correct
20 Correct 171 ms 8524 KB Output is correct
21 Correct 911 ms 13736 KB Output is correct
22 Correct 932 ms 13816 KB Output is correct
23 Correct 910 ms 13660 KB Output is correct
24 Correct 982 ms 13700 KB Output is correct
25 Correct 965 ms 13824 KB Output is correct
26 Correct 1163 ms 13768 KB Output is correct
27 Correct 1198 ms 13688 KB Output is correct
28 Correct 1120 ms 13804 KB Output is correct
29 Correct 1145 ms 13708 KB Output is correct
30 Correct 790 ms 14168 KB Output is correct
31 Correct 747 ms 14084 KB Output is correct
32 Correct 767 ms 14148 KB Output is correct
33 Correct 751 ms 14096 KB Output is correct
34 Correct 776 ms 14036 KB Output is correct
35 Correct 842 ms 14304 KB Output is correct
36 Correct 831 ms 13944 KB Output is correct
37 Correct 836 ms 14104 KB Output is correct
38 Correct 821 ms 14176 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 2560 KB Output is correct
2 Correct 11 ms 2560 KB Output is correct
3 Correct 11 ms 2560 KB Output is correct
4 Correct 11 ms 2660 KB Output is correct
5 Correct 11 ms 2560 KB Output is correct
6 Correct 12 ms 2560 KB Output is correct
7 Correct 12 ms 2560 KB Output is correct
8 Correct 12 ms 2688 KB Output is correct
9 Correct 12 ms 2560 KB Output is correct
10 Correct 12 ms 2560 KB Output is correct
11 Correct 11 ms 2560 KB Output is correct
12 Correct 12 ms 2688 KB Output is correct
13 Correct 12 ms 2656 KB Output is correct
14 Correct 12 ms 2560 KB Output is correct
15 Correct 13 ms 2688 KB Output is correct
16 Correct 8 ms 2176 KB Output is correct
17 Correct 8 ms 2176 KB Output is correct
18 Correct 8 ms 2176 KB Output is correct
19 Correct 8 ms 2176 KB Output is correct
20 Correct 8 ms 2048 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 804 ms 14200 KB Output is correct
2 Correct 819 ms 14072 KB Output is correct
3 Correct 826 ms 14048 KB Output is correct
4 Correct 834 ms 14104 KB Output is correct
5 Correct 855 ms 14200 KB Output is correct
6 Correct 746 ms 14200 KB Output is correct
7 Correct 747 ms 14124 KB Output is correct
8 Correct 765 ms 14216 KB Output is correct
9 Correct 749 ms 14024 KB Output is correct
10 Correct 752 ms 14276 KB Output is correct
11 Correct 773 ms 14076 KB Output is correct
12 Correct 758 ms 14112 KB Output is correct
13 Correct 844 ms 14072 KB Output is correct
14 Correct 749 ms 14200 KB Output is correct
15 Correct 760 ms 14288 KB Output is correct
16 Correct 166 ms 8228 KB Output is correct
17 Correct 175 ms 8568 KB Output is correct
18 Correct 192 ms 8336 KB Output is correct
19 Correct 180 ms 8448 KB Output is correct
20 Correct 171 ms 8524 KB Output is correct
21 Correct 911 ms 13736 KB Output is correct
22 Correct 932 ms 13816 KB Output is correct
23 Correct 910 ms 13660 KB Output is correct
24 Correct 982 ms 13700 KB Output is correct
25 Correct 965 ms 13824 KB Output is correct
26 Correct 1163 ms 13768 KB Output is correct
27 Correct 1198 ms 13688 KB Output is correct
28 Correct 1120 ms 13804 KB Output is correct
29 Correct 1145 ms 13708 KB Output is correct
30 Correct 790 ms 14168 KB Output is correct
31 Correct 747 ms 14084 KB Output is correct
32 Correct 767 ms 14148 KB Output is correct
33 Correct 751 ms 14096 KB Output is correct
34 Correct 776 ms 14036 KB Output is correct
35 Correct 842 ms 14304 KB Output is correct
36 Correct 831 ms 13944 KB Output is correct
37 Correct 836 ms 14104 KB Output is correct
38 Correct 821 ms 14176 KB Output is correct
39 Correct 12 ms 2560 KB Output is correct
40 Correct 11 ms 2560 KB Output is correct
41 Correct 11 ms 2560 KB Output is correct
42 Correct 11 ms 2660 KB Output is correct
43 Correct 11 ms 2560 KB Output is correct
44 Correct 12 ms 2560 KB Output is correct
45 Correct 12 ms 2560 KB Output is correct
46 Correct 12 ms 2688 KB Output is correct
47 Correct 12 ms 2560 KB Output is correct
48 Correct 12 ms 2560 KB Output is correct
49 Correct 11 ms 2560 KB Output is correct
50 Correct 12 ms 2688 KB Output is correct
51 Correct 12 ms 2656 KB Output is correct
52 Correct 12 ms 2560 KB Output is correct
53 Correct 13 ms 2688 KB Output is correct
54 Correct 8 ms 2176 KB Output is correct
55 Correct 8 ms 2176 KB Output is correct
56 Correct 8 ms 2176 KB Output is correct
57 Correct 8 ms 2176 KB Output is correct
58 Correct 8 ms 2048 KB Output is correct
59 Correct 1121 ms 14268 KB Output is correct
60 Correct 1024 ms 14064 KB Output is correct
61 Correct 1082 ms 14088 KB Output is correct
62 Correct 1038 ms 14296 KB Output is correct
63 Correct 1060 ms 14164 KB Output is correct
64 Correct 1379 ms 14124 KB Output is correct
65 Correct 1348 ms 14296 KB Output is correct
66 Correct 1366 ms 14044 KB Output is correct
67 Correct 1242 ms 14016 KB Output is correct
68 Correct 1233 ms 14180 KB Output is correct
69 Correct 1135 ms 14120 KB Output is correct
70 Correct 1135 ms 14308 KB Output is correct
71 Correct 1072 ms 14100 KB Output is correct
72 Correct 1048 ms 14108 KB Output is correct
73 Correct 1046 ms 14200 KB Output is correct
74 Correct 199 ms 8440 KB Output is correct
75 Correct 209 ms 8488 KB Output is correct
76 Correct 213 ms 8440 KB Output is correct
77 Correct 209 ms 8496 KB Output is correct
78 Correct 207 ms 8380 KB Output is correct