Submission #908808

# Submission time Handle Problem Language Result Execution time Memory
908808 2024-01-16T22:39:25 Z MinaRagy06 Misspelling (JOI22_misspelling) C++17
100 / 100
606 ms 219144 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long

const int mod = 1e9 + 7;
struct mint {
	int v;
	mint(long long x) {
		if (x >= mod) x %= mod;
		v = x;
	}
	mint() {v = 0;}
	mint& operator+=(mint b) {
		if ((v += b.v) >= mod) {
			v -= mod;
		}
		return *this;
	}
	mint& operator-=(mint b) {
		if ((v -= b.v) < 0) {
			v += mod;
		}
		return *this;
	}
	mint& operator*=(mint b) {
		v = 1ll * v * b.v % mod;
		return *this;
	}
	mint power(mint a, int b) {
		mint ans = 1;
		while (b) {
			if (b & 1) {
				ans *= a;
			}
			a *= a, b >>= 1;
		}
		return ans;
	}
	mint& operator/=(mint b) {
		v = 1ll * v * power(b, mod - 2).v % mod;
		return *this;
	}
	friend mint operator+(mint a, mint b) {
		return a += b;
	}
	friend mint operator-(mint a, mint b) {
		return a -= b;
	}
	friend mint operator*(mint a, mint b) {
		return a *= b;
	}
	friend mint operator/(mint a, mint b) {
		return a /= b;
	}
	friend istream& operator>>(istream &is, mint a) {
		return is >> a.v;
	}
	friend ostream& operator<<(ostream &os, mint a) {
		return os << a.v;
	}
};

int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	int n, m;
	cin >> n >> m;
	vector<int> st[n][2];
	for (int i = 0; i < m; i++) {
		int a, b;
		cin >> a >> b;
		a--, b--;
		if (a < b) {
			//s[i - 1] > s[i]
			st[a + 1][0].push_back(b + 1);
		} else {
			//s[i - 1] < s[i]
			st[b + 1][1].push_back(a + 1);
		}
	}
	mint dp[n + 1][26], prfx[n + 1][26], sufx[n + 1][26];
	for (int j = 0; j < 26; j++) prfx[n][j] = sufx[n][j] = dp[n][j] = 1;
	for (int j = 1; j < 26; j++) prfx[n][j] += prfx[n][j - 1];
	for (int j = 24; j >= 0; j--) sufx[n][j] += sufx[n][j + 1];
	set<int> active[2];
	mint sum[26][2];
	for (int i = n - 1; i >= 0; i--) {
		active[0].insert(i);
		active[1].insert(i);
		for (int j = 0; j < 26; j++) {
			if (j - 1 >= 0) sum[j][0] += prfx[i + 1][j - 1];
			if (j + 1 < 26) sum[j][1] += sufx[i + 1][j + 1];
		}
		for (auto en : st[i][0]) {
			auto it = active[1].lower_bound(i);
			while (it != active[1].end() && *it < en) {
				for (int j = 0; j + 1 < 26; j++) {
					sum[j][1] -= sufx[*it + 1][j + 1];
				}
				active[1].erase(it);
				it = active[1].lower_bound(i);
			}
		}
		for (auto en : st[i][1]) {
			auto it = active[0].lower_bound(i);
			while (it != active[0].end() && *it < en) {
				for (int j = 1; j < 26; j++) {
					sum[j][0] -= prfx[*it + 1][j - 1];
				}
				active[0].erase(it);
				it = active[0].lower_bound(i);
			}
		}
		for (int j = 0; j < 26; j++) {
			prfx[i][j] = sufx[i][j] = dp[i][j] = sum[j][0] + sum[j][1] + 1;
		}
		for (int j = 1; j < 26; j++) {
			prfx[i][j] += prfx[i][j - 1];
		}
		for (int j = 24; j >= 0; j--) {
			sufx[i][j] += sufx[i][j + 1];
		}
	}
	mint ans = 0;
	for (int j = 0; j < 26; j++) {
		ans += dp[1][j];
	}
	cout << ans << '\n';
	return 0;
}

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 456 KB Output is correct
22 Correct 2 ms 604 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 368 ms 192300 KB Output is correct
6 Correct 372 ms 192152 KB Output is correct
7 Correct 360 ms 192220 KB Output is correct
8 Correct 359 ms 192208 KB Output is correct
9 Correct 360 ms 192408 KB Output is correct
10 Correct 15 ms 8104 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 524 ms 192464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 456 KB Output is correct
22 Correct 2 ms 604 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 14 ms 8024 KB Output is correct
27 Correct 14 ms 8536 KB Output is correct
28 Correct 14 ms 8536 KB Output is correct
29 Correct 15 ms 8028 KB Output is correct
30 Correct 15 ms 8152 KB Output is correct
31 Correct 92 ms 11088 KB Output is correct
32 Correct 14 ms 8028 KB Output is correct
33 Correct 14 ms 8024 KB Output is correct
34 Correct 16 ms 7772 KB Output is correct
35 Correct 92 ms 11476 KB Output is correct
36 Correct 14 ms 9048 KB Output is correct
37 Correct 15 ms 7772 KB Output is correct
38 Correct 16 ms 7772 KB Output is correct
39 Correct 14 ms 7516 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 456 KB Output is correct
22 Correct 2 ms 604 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 368 ms 192300 KB Output is correct
31 Correct 372 ms 192152 KB Output is correct
32 Correct 360 ms 192220 KB Output is correct
33 Correct 359 ms 192208 KB Output is correct
34 Correct 360 ms 192408 KB Output is correct
35 Correct 15 ms 8104 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 0 ms 344 KB Output is correct
38 Correct 524 ms 192464 KB Output is correct
39 Correct 14 ms 8024 KB Output is correct
40 Correct 14 ms 8536 KB Output is correct
41 Correct 14 ms 8536 KB Output is correct
42 Correct 15 ms 8028 KB Output is correct
43 Correct 15 ms 8152 KB Output is correct
44 Correct 92 ms 11088 KB Output is correct
45 Correct 14 ms 8028 KB Output is correct
46 Correct 14 ms 8024 KB Output is correct
47 Correct 16 ms 7772 KB Output is correct
48 Correct 92 ms 11476 KB Output is correct
49 Correct 14 ms 9048 KB Output is correct
50 Correct 15 ms 7772 KB Output is correct
51 Correct 16 ms 7772 KB Output is correct
52 Correct 14 ms 7516 KB Output is correct
53 Correct 362 ms 186780 KB Output is correct
54 Correct 451 ms 211024 KB Output is correct
55 Correct 470 ms 199252 KB Output is correct
56 Correct 476 ms 199420 KB Output is correct
57 Correct 365 ms 198832 KB Output is correct
58 Correct 382 ms 198832 KB Output is correct
59 Correct 361 ms 198700 KB Output is correct
60 Correct 575 ms 194812 KB Output is correct
61 Correct 606 ms 219144 KB Output is correct
62 Correct 485 ms 190856 KB Output is correct
63 Correct 421 ms 186664 KB Output is correct
64 Correct 375 ms 182096 KB Output is correct