Submission #53349

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
53349	2018-06-29T14:59:43 Z	junodeveloper	Boat (APIO16_boat)	C++11	100 / 100	1280 ms	10640 KB

boat

#include <bits/stdc++.h>
#define SZ(x) ((int)x.size())
#define ALL(x) (x).begin(), (x).end()
using namespace std;
typedef long long ll;
typedef long double ld;
const int MOD = 1e9 + 7;
int n, a[510], b[510];
int dp[510][1010], dp2[510][1010];
int sum[1010][510], scnt[1010][510], fac[510]={1}, inv[510]={1}, bigfac[1010][510];
vector<int> Vx;
int modpow(int a, long long n, int mod = MOD) {
	int r = 1, b = a;
	while(n > 0) {
		if(n & 1) r = 1ll * r * b % mod;
		b = 1ll * b * b % mod;
		n >>= 1;
	}
	return r;
}
int main() {
	scanf("%d", &n);
	for(int i=1; i<=n; i++) {
		scanf("%d%d", a+i, b+i); b[i]++;
		Vx.push_back(a[i]);
		Vx.push_back(b[i]);
	}
	sort(ALL(Vx));
	Vx.erase(unique(ALL(Vx)), Vx.end());
	for(int i=1; i<=500; i++) { 
		fac[i] = 1ll * fac[i-1] * i % MOD;
		inv[i] = modpow(fac[i], MOD - 2);
	}
	for(int i=1; i<SZ(Vx); i++) {
		int len = Vx[i] - Vx[i-1];
		bigfac[i][0] = 1;
		for(int j=1; j<=n; j++)
			scnt[i][j] = scnt[i][j-1] + (min(b[j], Vx[i]) - max(a[j], Vx[i-1]) > 0);
		for(int j=1; j<=n; j++)
			bigfac[i][j] = 1ll * bigfac[i][j-1] * (len - j + 1) % MOD;
		for(int j=1; j<=scnt[i][n]; j++)
			for(int k=1; k<=j; k++)
				sum[i][j] = (sum[i][j] + 1ll
				* fac[j-1] * inv[k-1] % MOD * inv[j-k] % MOD
				* bigfac[i][k] % MOD * inv[k]) % MOD;
	}
	int res = 0;
	for(int i=1; i<=n; i++) {
		for(int j=1; j<SZ(Vx); j++) {
			if(!(min(b[i], Vx[j]) - max(a[i], Vx[j-1]) > 0)) continue;
			dp[i][j] = sum[j][scnt[j][i]];
			for(int k=1; k<i; k++) {
				dp[i][j] = (dp[i][j] + 1ll * dp2[k][j-1] * sum[j][scnt[j][i] - scnt[j][k]] % MOD) % MOD;
			}
			res = (res + dp[i][j]) % MOD;
		}
		for(int j=1; j<SZ(Vx); j++) dp2[i][j] = (dp2[i][j-1] + dp[i][j]) % MOD;
	}
	// sum[s][cnt] : sum(C(cnt-1, i-1) * C(Vx[s]-Vx[s-1], i)) for 1<=i<=cnt
	printf("%d", res);
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:22:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &n);
  ~~~~~^~~~~~~~~~
boat.cpp:24:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d%d", a+i, b+i); b[i]++;
   ~~~~~^~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	23 ms	9976 KB	Output is correct
2	Correct	22 ms	9976 KB	Output is correct
3	Correct	21 ms	9992 KB	Output is correct
4	Correct	21 ms	10068 KB	Output is correct
5	Correct	22 ms	10068 KB	Output is correct
6	Correct	22 ms	10452 KB	Output is correct
7	Correct	21 ms	10452 KB	Output is correct
8	Correct	28 ms	10452 KB	Output is correct
9	Correct	23 ms	10532 KB	Output is correct
10	Correct	23 ms	10532 KB	Output is correct
11	Correct	22 ms	10532 KB	Output is correct
12	Correct	21 ms	10532 KB	Output is correct
13	Correct	22 ms	10532 KB	Output is correct
14	Correct	22 ms	10532 KB	Output is correct
15	Correct	29 ms	10532 KB	Output is correct
16	Correct	11 ms	10532 KB	Output is correct
17	Correct	11 ms	10532 KB	Output is correct
18	Correct	13 ms	10532 KB	Output is correct
19	Correct	12 ms	10532 KB	Output is correct
20	Correct	9 ms	10532 KB	Output is correct

Subtask #2
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	23 ms	9976 KB	Output is correct
2	Correct	22 ms	9976 KB	Output is correct
3	Correct	21 ms	9992 KB	Output is correct
4	Correct	21 ms	10068 KB	Output is correct
5	Correct	22 ms	10068 KB	Output is correct
6	Correct	22 ms	10452 KB	Output is correct
7	Correct	21 ms	10452 KB	Output is correct
8	Correct	28 ms	10452 KB	Output is correct
9	Correct	23 ms	10532 KB	Output is correct
10	Correct	23 ms	10532 KB	Output is correct
11	Correct	22 ms	10532 KB	Output is correct
12	Correct	21 ms	10532 KB	Output is correct
13	Correct	22 ms	10532 KB	Output is correct
14	Correct	22 ms	10532 KB	Output is correct
15	Correct	29 ms	10532 KB	Output is correct
16	Correct	11 ms	10532 KB	Output is correct
17	Correct	11 ms	10532 KB	Output is correct
18	Correct	13 ms	10532 KB	Output is correct
19	Correct	12 ms	10532 KB	Output is correct
20	Correct	9 ms	10532 KB	Output is correct
21	Correct	595 ms	10532 KB	Output is correct
22	Correct	505 ms	10532 KB	Output is correct
23	Correct	592 ms	10532 KB	Output is correct
24	Correct	558 ms	10532 KB	Output is correct
25	Correct	545 ms	10532 KB	Output is correct
26	Correct	828 ms	10532 KB	Output is correct
27	Correct	912 ms	10532 KB	Output is correct
28	Correct	858 ms	10532 KB	Output is correct
29	Correct	787 ms	10532 KB	Output is correct
30	Correct	23 ms	10532 KB	Output is correct
31	Correct	23 ms	10532 KB	Output is correct
32	Correct	23 ms	10532 KB	Output is correct
33	Correct	26 ms	10532 KB	Output is correct
34	Correct	22 ms	10532 KB	Output is correct
35	Correct	23 ms	10532 KB	Output is correct
36	Correct	23 ms	10532 KB	Output is correct
37	Correct	23 ms	10532 KB	Output is correct
38	Correct	24 ms	10532 KB	Output is correct

Subtask #3
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	10532 KB	Output is correct
2	Correct	7 ms	10532 KB	Output is correct
3	Correct	9 ms	10532 KB	Output is correct
4	Correct	10 ms	10532 KB	Output is correct
5	Correct	8 ms	10532 KB	Output is correct
6	Correct	14 ms	10532 KB	Output is correct
7	Correct	16 ms	10532 KB	Output is correct
8	Correct	12 ms	10532 KB	Output is correct
9	Correct	12 ms	10532 KB	Output is correct
10	Correct	13 ms	10532 KB	Output is correct
11	Correct	8 ms	10532 KB	Output is correct
12	Correct	9 ms	10532 KB	Output is correct
13	Correct	8 ms	10532 KB	Output is correct
14	Correct	9 ms	10532 KB	Output is correct
15	Correct	9 ms	10532 KB	Output is correct
16	Correct	6 ms	10532 KB	Output is correct
17	Correct	7 ms	10532 KB	Output is correct
18	Correct	6 ms	10532 KB	Output is correct
19	Correct	7 ms	10532 KB	Output is correct
20	Correct	6 ms	10532 KB	Output is correct

Subtask #4
42.0 / 42.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	23 ms	9976 KB	Output is correct
2	Correct	22 ms	9976 KB	Output is correct
3	Correct	21 ms	9992 KB	Output is correct
4	Correct	21 ms	10068 KB	Output is correct
5	Correct	22 ms	10068 KB	Output is correct
6	Correct	22 ms	10452 KB	Output is correct
7	Correct	21 ms	10452 KB	Output is correct
8	Correct	28 ms	10452 KB	Output is correct
9	Correct	23 ms	10532 KB	Output is correct
10	Correct	23 ms	10532 KB	Output is correct
11	Correct	22 ms	10532 KB	Output is correct
12	Correct	21 ms	10532 KB	Output is correct
13	Correct	22 ms	10532 KB	Output is correct
14	Correct	22 ms	10532 KB	Output is correct
15	Correct	29 ms	10532 KB	Output is correct
16	Correct	11 ms	10532 KB	Output is correct
17	Correct	11 ms	10532 KB	Output is correct
18	Correct	13 ms	10532 KB	Output is correct
19	Correct	12 ms	10532 KB	Output is correct
20	Correct	9 ms	10532 KB	Output is correct
21	Correct	595 ms	10532 KB	Output is correct
22	Correct	505 ms	10532 KB	Output is correct
23	Correct	592 ms	10532 KB	Output is correct
24	Correct	558 ms	10532 KB	Output is correct
25	Correct	545 ms	10532 KB	Output is correct
26	Correct	828 ms	10532 KB	Output is correct
27	Correct	912 ms	10532 KB	Output is correct
28	Correct	858 ms	10532 KB	Output is correct
29	Correct	787 ms	10532 KB	Output is correct
30	Correct	23 ms	10532 KB	Output is correct
31	Correct	23 ms	10532 KB	Output is correct
32	Correct	23 ms	10532 KB	Output is correct
33	Correct	26 ms	10532 KB	Output is correct
34	Correct	22 ms	10532 KB	Output is correct
35	Correct	23 ms	10532 KB	Output is correct
36	Correct	23 ms	10532 KB	Output is correct
37	Correct	23 ms	10532 KB	Output is correct
38	Correct	24 ms	10532 KB	Output is correct
39	Correct	8 ms	10532 KB	Output is correct
40	Correct	7 ms	10532 KB	Output is correct
41	Correct	9 ms	10532 KB	Output is correct
42	Correct	10 ms	10532 KB	Output is correct
43	Correct	8 ms	10532 KB	Output is correct
44	Correct	14 ms	10532 KB	Output is correct
45	Correct	16 ms	10532 KB	Output is correct
46	Correct	12 ms	10532 KB	Output is correct
47	Correct	12 ms	10532 KB	Output is correct
48	Correct	13 ms	10532 KB	Output is correct
49	Correct	8 ms	10532 KB	Output is correct
50	Correct	9 ms	10532 KB	Output is correct
51	Correct	8 ms	10532 KB	Output is correct
52	Correct	9 ms	10532 KB	Output is correct
53	Correct	9 ms	10532 KB	Output is correct
54	Correct	6 ms	10532 KB	Output is correct
55	Correct	7 ms	10532 KB	Output is correct
56	Correct	6 ms	10532 KB	Output is correct
57	Correct	7 ms	10532 KB	Output is correct
58	Correct	6 ms	10532 KB	Output is correct
59	Correct	615 ms	10532 KB	Output is correct
60	Correct	529 ms	10532 KB	Output is correct
61	Correct	502 ms	10532 KB	Output is correct
62	Correct	630 ms	10544 KB	Output is correct
63	Correct	626 ms	10544 KB	Output is correct
64	Correct	1270 ms	10544 KB	Output is correct
65	Correct	1280 ms	10592 KB	Output is correct
66	Correct	1146 ms	10592 KB	Output is correct
67	Correct	1043 ms	10640 KB	Output is correct
68	Correct	1050 ms	10640 KB	Output is correct
69	Correct	470 ms	10640 KB	Output is correct
70	Correct	497 ms	10640 KB	Output is correct
71	Correct	442 ms	10640 KB	Output is correct
72	Correct	453 ms	10640 KB	Output is correct
73	Correct	532 ms	10640 KB	Output is correct
74	Correct	109 ms	10640 KB	Output is correct
75	Correct	121 ms	10640 KB	Output is correct
76	Correct	114 ms	10640 KB	Output is correct
77	Correct	117 ms	10640 KB	Output is correct
78	Correct	115 ms	10640 KB	Output is correct

Submission #53349

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 22.0 / 22.0

Subtask #3 27.0 / 27.0

Subtask #4 42.0 / 42.0

Subtask #1
9.0 / 9.0

Subtask #2
22.0 / 22.0

Subtask #3
27.0 / 27.0

Subtask #4
42.0 / 42.0