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Submission #404448

# Submission time Handle Problem Language Result Execution time Memory
404448 2021-05-14T12:19:21 Z CursedCode Boat (APIO16_boat) C++14
100 / 100
 563 ms 4392 KB 
#include <stdio.h>
#include <map>
using namespace std;

const long long mod = 1000000007;
int inv[505];

int N,A[505],B[505],L[1005];
long long D[505][1005];

int main()
{
	inv[1] = 1;
	for (int i=2;i<505;i++) inv[i] = (mod - mod / i) * inv[mod % i] % mod;

	scanf ("%d",&N);
	map<int, int> chk;
	for (int i=1;i<=N;i++){
		scanf ("%d %d",&A[i],&B[i]);
		chk[A[i]] = chk[B[i]+1] = 0;
	}

	int c = 0, last = 0;
	for (auto &p : chk){
		L[c] = p.first - last;
		p.second = c++;
		last = p.first;
	}
	c--;

	for (int j=0;j<=c;j++) D[0][j] = 1;
	for (int i=1;i<=N;i++){
		A[i] = chk[A[i]] + 1; B[i] = chk[B[i]+1];
		D[i][0] = 1;
		for (int j=A[i];j<=B[i];j++){
			D[i][j] = (D[i][j] + L[j] * D[i-1][j-1]) % mod;
			long long comb = L[j] - 1; int c = 1;
			for (int k=i-1;k>0;k--){
				if (A[k] <= j && j <= B[k]){
					comb = comb * (L[j] - 1 + c) % mod;
					if (!comb) break;
					comb = comb * inv[++c] % mod;
					D[i][j] = (D[i][j] + comb * D[k-1][j-1]) % mod;
				}
			}
		}
		for (int j=1;j<=c;j++){
			D[i][j] = (D[i][j] + D[i][j-1] + D[i-1][j] - D[i-1][j-1] + mod) % mod;
		}
	}
	
	long long ans = 0;
	printf ("%lld\n",(D[N][c]+mod-1)%mod);

	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:52:12: warning: unused variable 'ans' [-Wunused-variable]
   52 |  long long ans = 0;
      |            ^~~
boat.cpp:16:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   16 |  scanf ("%d",&N);
      |  ~~~~~~^~~~~~~~~
boat.cpp:19:9: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   19 |   scanf ("%d %d",&A[i],&B[i]);
      |   ~~~~~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4280 KB Output is correct
2 Correct 9 ms 4172 KB Output is correct
3 Correct 9 ms 4172 KB Output is correct
4 Correct 10 ms 4172 KB Output is correct
5 Correct 8 ms 4172 KB Output is correct
6 Correct 8 ms 4248 KB Output is correct
7 Correct 8 ms 4172 KB Output is correct
8 Correct 9 ms 4176 KB Output is correct
9 Correct 9 ms 4168 KB Output is correct
10 Correct 9 ms 4260 KB Output is correct
11 Correct 8 ms 4172 KB Output is correct
12 Correct 8 ms 4172 KB Output is correct
13 Correct 9 ms 4232 KB Output is correct
14 Correct 8 ms 4172 KB Output is correct
15 Correct 9 ms 4172 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 3 ms 3020 KB Output is correct
18 Correct 3 ms 2960 KB Output is correct
19 Correct 3 ms 3020 KB Output is correct
20 Correct 3 ms 3020 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4280 KB Output is correct
2 Correct 9 ms 4172 KB Output is correct
3 Correct 9 ms 4172 KB Output is correct
4 Correct 10 ms 4172 KB Output is correct
5 Correct 8 ms 4172 KB Output is correct
6 Correct 8 ms 4248 KB Output is correct
7 Correct 8 ms 4172 KB Output is correct
8 Correct 9 ms 4176 KB Output is correct
9 Correct 9 ms 4168 KB Output is correct
10 Correct 9 ms 4260 KB Output is correct
11 Correct 8 ms 4172 KB Output is correct
12 Correct 8 ms 4172 KB Output is correct
13 Correct 9 ms 4232 KB Output is correct
14 Correct 8 ms 4172 KB Output is correct
15 Correct 9 ms 4172 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 3 ms 3020 KB Output is correct
18 Correct 3 ms 2960 KB Output is correct
19 Correct 3 ms 3020 KB Output is correct
20 Correct 3 ms 3020 KB Output is correct
21 Correct 181 ms 4208 KB Output is correct
22 Correct 174 ms 4192 KB Output is correct
23 Correct 158 ms 4244 KB Output is correct
24 Correct 177 ms 4164 KB Output is correct
25 Correct 179 ms 4236 KB Output is correct
26 Correct 371 ms 4164 KB Output is correct
27 Correct 375 ms 4372 KB Output is correct
28 Correct 389 ms 4256 KB Output is correct
29 Correct 401 ms 4204 KB Output is correct
30 Correct 8 ms 4172 KB Output is correct
31 Correct 8 ms 4300 KB Output is correct
32 Correct 8 ms 4172 KB Output is correct
33 Correct 8 ms 4212 KB Output is correct
34 Correct 8 ms 4280 KB Output is correct
35 Correct 8 ms 4172 KB Output is correct
36 Correct 9 ms 4260 KB Output is correct
37 Correct 9 ms 4268 KB Output is correct
38 Correct 9 ms 4172 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 844 KB Output is correct
2 Correct 2 ms 844 KB Output is correct
3 Correct 3 ms 844 KB Output is correct
4 Correct 3 ms 844 KB Output is correct
5 Correct 3 ms 844 KB Output is correct
6 Correct 5 ms 844 KB Output is correct
7 Correct 6 ms 776 KB Output is correct
8 Correct 5 ms 844 KB Output is correct
9 Correct 7 ms 788 KB Output is correct
10 Correct 5 ms 844 KB Output is correct
11 Correct 3 ms 844 KB Output is correct
12 Correct 3 ms 844 KB Output is correct
13 Correct 3 ms 844 KB Output is correct
14 Correct 3 ms 844 KB Output is correct
15 Correct 3 ms 844 KB Output is correct
16 Correct 2 ms 716 KB Output is correct
17 Correct 2 ms 716 KB Output is correct
18 Correct 2 ms 716 KB Output is correct
19 Correct 2 ms 716 KB Output is correct
20 Correct 2 ms 716 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 4280 KB Output is correct
2 Correct 9 ms 4172 KB Output is correct
3 Correct 9 ms 4172 KB Output is correct
4 Correct 10 ms 4172 KB Output is correct
5 Correct 8 ms 4172 KB Output is correct
6 Correct 8 ms 4248 KB Output is correct
7 Correct 8 ms 4172 KB Output is correct
8 Correct 9 ms 4176 KB Output is correct
9 Correct 9 ms 4168 KB Output is correct
10 Correct 9 ms 4260 KB Output is correct
11 Correct 8 ms 4172 KB Output is correct
12 Correct 8 ms 4172 KB Output is correct
13 Correct 9 ms 4232 KB Output is correct
14 Correct 8 ms 4172 KB Output is correct
15 Correct 9 ms 4172 KB Output is correct
16 Correct 3 ms 2892 KB Output is correct
17 Correct 3 ms 3020 KB Output is correct
18 Correct 3 ms 2960 KB Output is correct
19 Correct 3 ms 3020 KB Output is correct
20 Correct 3 ms 3020 KB Output is correct
21 Correct 181 ms 4208 KB Output is correct
22 Correct 174 ms 4192 KB Output is correct
23 Correct 158 ms 4244 KB Output is correct
24 Correct 177 ms 4164 KB Output is correct
25 Correct 179 ms 4236 KB Output is correct
26 Correct 371 ms 4164 KB Output is correct
27 Correct 375 ms 4372 KB Output is correct
28 Correct 389 ms 4256 KB Output is correct
29 Correct 401 ms 4204 KB Output is correct
30 Correct 8 ms 4172 KB Output is correct
31 Correct 8 ms 4300 KB Output is correct
32 Correct 8 ms 4172 KB Output is correct
33 Correct 8 ms 4212 KB Output is correct
34 Correct 8 ms 4280 KB Output is correct
35 Correct 8 ms 4172 KB Output is correct
36 Correct 9 ms 4260 KB Output is correct
37 Correct 9 ms 4268 KB Output is correct
38 Correct 9 ms 4172 KB Output is correct
39 Correct 3 ms 844 KB Output is correct
40 Correct 2 ms 844 KB Output is correct
41 Correct 3 ms 844 KB Output is correct
42 Correct 3 ms 844 KB Output is correct
43 Correct 3 ms 844 KB Output is correct
44 Correct 5 ms 844 KB Output is correct
45 Correct 6 ms 776 KB Output is correct
46 Correct 5 ms 844 KB Output is correct
47 Correct 7 ms 788 KB Output is correct
48 Correct 5 ms 844 KB Output is correct
49 Correct 3 ms 844 KB Output is correct
50 Correct 3 ms 844 KB Output is correct
51 Correct 3 ms 844 KB Output is correct
52 Correct 3 ms 844 KB Output is correct
53 Correct 3 ms 844 KB Output is correct
54 Correct 2 ms 716 KB Output is correct
55 Correct 2 ms 716 KB Output is correct
56 Correct 2 ms 716 KB Output is correct
57 Correct 2 ms 716 KB Output is correct
58 Correct 2 ms 716 KB Output is correct
59 Correct 250 ms 4376 KB Output is correct
60 Correct 214 ms 4212 KB Output is correct
61 Correct 202 ms 4164 KB Output is correct
62 Correct 243 ms 4324 KB Output is correct
63 Correct 238 ms 4208 KB Output is correct
64 Correct 554 ms 4284 KB Output is correct
65 Correct 548 ms 4256 KB Output is correct
66 Correct 550 ms 4332 KB Output is correct
67 Correct 553 ms 4392 KB Output is correct
68 Correct 563 ms 4172 KB Output is correct
69 Correct 209 ms 4236 KB Output is correct
70 Correct 208 ms 4204 KB Output is correct
71 Correct 208 ms 4240 KB Output is correct
72 Correct 225 ms 4256 KB Output is correct
73 Correct 223 ms 4248 KB Output is correct
74 Correct 28 ms 2940 KB Output is correct
75 Correct 26 ms 2924 KB Output is correct
76 Correct 27 ms 3048 KB Output is correct
77 Correct 27 ms 3012 KB Output is correct
78 Correct 31 ms 3092 KB Output is correct