Submission #261074

# Submission time Handle Problem Language Result Execution time Memory
261074 2020-08-11T11:10:38 Z srvlt Boat (APIO16_boat) C++14
100 / 100
323 ms 8448 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define pb push_back
#define all(x) begin(x), end(x)
#define SZ(x) (int)(x).size()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const int n0 = 1003, mod = 1e9 + 7;
int n, l[n0], r[n0], k;

int bp(int x, int y) {
	int res = 1;
	while (y) {
		if (y & 1)
			res = (ll)res * x % mod;
		x = (ll)x * x % mod;
		y /= 2;
	}
	return res;
}

struct Mint {
	int b = 0;
	Mint(int x = 0) {
		b = x;
		if (b >= mod) b -= mod;
	}
	void operator += (const Mint & x) {
		b += x.b;
		if (b >= mod) b -= mod;
	}
	Mint operator + (const Mint & x) const {
		Mint res = * this;
		res += x;
		return res;
	}
	Mint operator * (const Mint & x) const {
		Mint res;
		res.b = (ll)b * x.b % mod;
		return res;
	}
	Mint operator / (const Mint & x) const {
		Mint res;
		res.b = (ll)b * bp(x.b, mod - 2) % mod;
		return res;
	}
};

struct Block {
	int l = 0, r = 0, t = 0;
	Mint add[n0], c[n0], cur, last;
	Block() {
		c[0] = 1;
	}
	void upd(Mint x) {
		add[t++] = x;
		c[t] = c[t - 1] * (r - l + t) / t;
		cur = last = 0;
		for (int i = 0; i < t; i++) {
			cur += c[t - i] * add[i];
			last += c[t - i - 1] * add[i];
		}
	}
};
Block b[n0];

int main() {
	ios_base::sync_with_stdio(false), cin.tie(NULL);
	cin >> n;
	vector <int> crd;
	for (int i = 0; i < n; i++) {
		cin >> l[i] >> r[i];
		r[i]++;
		crd.pb(l[i]), crd.pb(r[i]);
	}
	crd.pb(0), crd.pb(1);
	sort(all(crd));
	for (int i = 1; i < SZ(crd); i++) {
		if (crd[i - 1] < crd[i]) {
			b[k].l = crd[i - 1];
			b[k++].r = crd[i] - 1;
		}
	}
	b[0].upd(1);
	for (int i = 0; i < n; i++) {
		Mint cur;
		int j = 0;
		for (; j < k && b[j].r < l[i]; j++)
			cur += b[j].cur;
		for (; j < k && b[j].r < r[i]; j++) {
			b[j].upd(cur);
			cur = b[j].last;
		}
	}
	Mint res;
	for (int i = 0; i < k; i++)
		res += b[i].cur;
	res += (mod - 1);
	cout << res.b;
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8320 KB Output is correct
2 Correct 6 ms 8320 KB Output is correct
3 Correct 6 ms 8192 KB Output is correct
4 Correct 7 ms 8320 KB Output is correct
5 Correct 6 ms 8320 KB Output is correct
6 Correct 6 ms 8320 KB Output is correct
7 Correct 7 ms 8192 KB Output is correct
8 Correct 6 ms 8192 KB Output is correct
9 Correct 7 ms 8320 KB Output is correct
10 Correct 7 ms 8320 KB Output is correct
11 Correct 7 ms 8192 KB Output is correct
12 Correct 7 ms 8320 KB Output is correct
13 Correct 8 ms 8320 KB Output is correct
14 Correct 6 ms 8192 KB Output is correct
15 Correct 6 ms 8192 KB Output is correct
16 Correct 6 ms 8320 KB Output is correct
17 Correct 6 ms 8320 KB Output is correct
18 Correct 6 ms 8320 KB Output is correct
19 Correct 6 ms 8320 KB Output is correct
20 Correct 6 ms 8192 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8320 KB Output is correct
2 Correct 6 ms 8320 KB Output is correct
3 Correct 6 ms 8192 KB Output is correct
4 Correct 7 ms 8320 KB Output is correct
5 Correct 6 ms 8320 KB Output is correct
6 Correct 6 ms 8320 KB Output is correct
7 Correct 7 ms 8192 KB Output is correct
8 Correct 6 ms 8192 KB Output is correct
9 Correct 7 ms 8320 KB Output is correct
10 Correct 7 ms 8320 KB Output is correct
11 Correct 7 ms 8192 KB Output is correct
12 Correct 7 ms 8320 KB Output is correct
13 Correct 8 ms 8320 KB Output is correct
14 Correct 6 ms 8192 KB Output is correct
15 Correct 6 ms 8192 KB Output is correct
16 Correct 6 ms 8320 KB Output is correct
17 Correct 6 ms 8320 KB Output is correct
18 Correct 6 ms 8320 KB Output is correct
19 Correct 6 ms 8320 KB Output is correct
20 Correct 6 ms 8192 KB Output is correct
21 Correct 136 ms 8308 KB Output is correct
22 Correct 132 ms 8312 KB Output is correct
23 Correct 131 ms 8192 KB Output is correct
24 Correct 134 ms 8428 KB Output is correct
25 Correct 140 ms 8192 KB Output is correct
26 Correct 274 ms 8192 KB Output is correct
27 Correct 279 ms 8312 KB Output is correct
28 Correct 272 ms 8308 KB Output is correct
29 Correct 266 ms 8192 KB Output is correct
30 Correct 7 ms 8192 KB Output is correct
31 Correct 8 ms 8320 KB Output is correct
32 Correct 6 ms 8320 KB Output is correct
33 Correct 6 ms 8320 KB Output is correct
34 Correct 6 ms 8192 KB Output is correct
35 Correct 7 ms 8320 KB Output is correct
36 Correct 7 ms 8320 KB Output is correct
37 Correct 7 ms 8320 KB Output is correct
38 Correct 7 ms 8448 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 8192 KB Output is correct
2 Correct 8 ms 8192 KB Output is correct
3 Correct 8 ms 8192 KB Output is correct
4 Correct 8 ms 8192 KB Output is correct
5 Correct 8 ms 8192 KB Output is correct
6 Correct 9 ms 8192 KB Output is correct
7 Correct 10 ms 8192 KB Output is correct
8 Correct 9 ms 8192 KB Output is correct
9 Correct 9 ms 8192 KB Output is correct
10 Correct 9 ms 8192 KB Output is correct
11 Correct 8 ms 8192 KB Output is correct
12 Correct 7 ms 8192 KB Output is correct
13 Correct 8 ms 8192 KB Output is correct
14 Correct 7 ms 8192 KB Output is correct
15 Correct 8 ms 8192 KB Output is correct
16 Correct 9 ms 8192 KB Output is correct
17 Correct 8 ms 8192 KB Output is correct
18 Correct 7 ms 8192 KB Output is correct
19 Correct 7 ms 8192 KB Output is correct
20 Correct 7 ms 8192 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8320 KB Output is correct
2 Correct 6 ms 8320 KB Output is correct
3 Correct 6 ms 8192 KB Output is correct
4 Correct 7 ms 8320 KB Output is correct
5 Correct 6 ms 8320 KB Output is correct
6 Correct 6 ms 8320 KB Output is correct
7 Correct 7 ms 8192 KB Output is correct
8 Correct 6 ms 8192 KB Output is correct
9 Correct 7 ms 8320 KB Output is correct
10 Correct 7 ms 8320 KB Output is correct
11 Correct 7 ms 8192 KB Output is correct
12 Correct 7 ms 8320 KB Output is correct
13 Correct 8 ms 8320 KB Output is correct
14 Correct 6 ms 8192 KB Output is correct
15 Correct 6 ms 8192 KB Output is correct
16 Correct 6 ms 8320 KB Output is correct
17 Correct 6 ms 8320 KB Output is correct
18 Correct 6 ms 8320 KB Output is correct
19 Correct 6 ms 8320 KB Output is correct
20 Correct 6 ms 8192 KB Output is correct
21 Correct 136 ms 8308 KB Output is correct
22 Correct 132 ms 8312 KB Output is correct
23 Correct 131 ms 8192 KB Output is correct
24 Correct 134 ms 8428 KB Output is correct
25 Correct 140 ms 8192 KB Output is correct
26 Correct 274 ms 8192 KB Output is correct
27 Correct 279 ms 8312 KB Output is correct
28 Correct 272 ms 8308 KB Output is correct
29 Correct 266 ms 8192 KB Output is correct
30 Correct 7 ms 8192 KB Output is correct
31 Correct 8 ms 8320 KB Output is correct
32 Correct 6 ms 8320 KB Output is correct
33 Correct 6 ms 8320 KB Output is correct
34 Correct 6 ms 8192 KB Output is correct
35 Correct 7 ms 8320 KB Output is correct
36 Correct 7 ms 8320 KB Output is correct
37 Correct 7 ms 8320 KB Output is correct
38 Correct 7 ms 8448 KB Output is correct
39 Correct 8 ms 8192 KB Output is correct
40 Correct 8 ms 8192 KB Output is correct
41 Correct 8 ms 8192 KB Output is correct
42 Correct 8 ms 8192 KB Output is correct
43 Correct 8 ms 8192 KB Output is correct
44 Correct 9 ms 8192 KB Output is correct
45 Correct 10 ms 8192 KB Output is correct
46 Correct 9 ms 8192 KB Output is correct
47 Correct 9 ms 8192 KB Output is correct
48 Correct 9 ms 8192 KB Output is correct
49 Correct 8 ms 8192 KB Output is correct
50 Correct 7 ms 8192 KB Output is correct
51 Correct 8 ms 8192 KB Output is correct
52 Correct 7 ms 8192 KB Output is correct
53 Correct 8 ms 8192 KB Output is correct
54 Correct 9 ms 8192 KB Output is correct
55 Correct 8 ms 8192 KB Output is correct
56 Correct 7 ms 8192 KB Output is correct
57 Correct 7 ms 8192 KB Output is correct
58 Correct 7 ms 8192 KB Output is correct
59 Correct 151 ms 8312 KB Output is correct
60 Correct 142 ms 8312 KB Output is correct
61 Correct 134 ms 8352 KB Output is correct
62 Correct 152 ms 8312 KB Output is correct
63 Correct 141 ms 8312 KB Output is correct
64 Correct 310 ms 8308 KB Output is correct
65 Correct 323 ms 8320 KB Output is correct
66 Correct 305 ms 8308 KB Output is correct
67 Correct 302 ms 8312 KB Output is correct
68 Correct 315 ms 8312 KB Output is correct
69 Correct 126 ms 8312 KB Output is correct
70 Correct 129 ms 8316 KB Output is correct
71 Correct 134 ms 8312 KB Output is correct
72 Correct 135 ms 8440 KB Output is correct
73 Correct 139 ms 8192 KB Output is correct
74 Correct 33 ms 8192 KB Output is correct
75 Correct 32 ms 8320 KB Output is correct
76 Correct 33 ms 8192 KB Output is correct
77 Correct 33 ms 8192 KB Output is correct
78 Correct 39 ms 8320 KB Output is correct