oj.uz

Submission #205258

# Submission time Handle Problem Language Result Execution time Memory
205258 2020-02-28T11:33:09 Z hanagasumi Abduction 2 (JOI17_abduction2) C++17
27 / 100
 5000 ms 18872 KB 
#include <iostream>
#include <vector>
#include <cmath>
#include <algorithm>
#include <deque>
#include <map>
#include <set>
#include <complex>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <chrono>
 
#define ft first
#define sc second
#define pb push_back
#define len(v) (int)v.size()
// #define int ll

using namespace std;
typedef long long ll;
typedef long double ld;

vector<int> logt;

void built_logt(int n) {
	logt = vector<int> (n + 2, 0);
	int cnt = 0, now = 1;
	for (int i = 0; i <= n + 1; i++) {
		if(now * 2 == i) {
			now *= 2;
			cnt++;
		}
		logt[i] = cnt;
	}
	return;
}

struct sparse {
	vector<vector<int>> table;
	int n, log;
	sparse() {}
	sparse(vector<int>& have) {
		n = len(have);
		log = 1;
		while((1 << log) <= n) 
			log *= 2;
		table = vector<vector<int>> (log + 1, vector<int> (n + 1, 0));
		for (int i = 0; i < n; i++) {
			table[0][i] = have[i];
		}
		for (int logn = 1; logn < log; logn++) {
			for (int i = 0; i < n; i++) {
				int nxt = min(n - 1, (1 << (logn - 1)) + i);
				table[logn][i] = max(table[logn - 1][i], table[logn - 1][nxt]);
			}
		}
		return;
	}
	int get(int l, int r) {
		int ans = 0;
		for (int i = l; i <= r; i++) {
			ans = max(table[0][i], ans);
		}
		return ans;
		// int lenn = (r - l + 1);
		// int logn = logt[lenn];
		// int pred = (r - (1 << logn) + 1);
		// int ans = max(table[logn][l], table[logn][pred]);
		// return ans;
	}
};

map<pair<int, int>, int> dp;
int w, h;
vector<int> a;
vector<int> b;
sparse as;
sparse bs;

int solve(int i, int j) {
	// cout << i << " " << j << endl;
	// cout << a[i] << " " << b[j] << endl;
	if(dp.count({i, j})) 
		return dp[{i, j}];
	if(a[i] > b[j]) {

		int l = j, r = w;
		while(r - l > 1) {
			int now = (l + r) / 2;
			if(bs.get(j, now) > a[i]) 
				r = now;
			else
				l = now;
		}

		if(r == w) 
			dp[{i, j}] = max(dp[{i, j}], w - j);
		else
			dp[{i, j}] = max(dp[{i, j}], r - j + solve(i, r));

		l = -1, r = j;
		while(r - l > 1) {
			int now = (l + r) / 2;
			if(bs.get(now, j) > a[i]) 
				l = now;
			else
				r = now;
		}
		if(l == -1) 
			dp[{i, j}] = max(dp[{i, j}], j + 1);
		else
			dp[{i, j}] = max(dp[{i, j}], j - l + solve(i, l));
	}
	else {


		int l = i, r = h;
		while(r - l > 1) {
			int now = (l + r) / 2;
			if(as.get(i, now) > b[j]) 
				r = now;
			else
				l = now;
		}
		if(r == h) 
			dp[{i, j}] = max(dp[{i, j}], h - i);
		else
			dp[{i, j}] = max(dp[{i, j}], r - i + solve(r, j));

		l = -1, r = i;
		while(r - l > 1) {
			int now = (l + r) / 2;
			if(as.get(now, i) > b[j]) 
				l = now;
			else
				r = now;
		}
		if(l == -1) 
			dp[{i, j}] = max(dp[{i, j}], i + 1);
		else
			dp[{i, j}] = max(dp[{i, j}], i - l + solve(l, j));
	}
	return dp[{i, j}];
}


signed main() {
	#ifdef PC 
		freopen("in.txt", "r", stdin);
		freopen("out.txt", "w", stdout);
	#endif
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);

	int q;
	cin >> h >> w >> q;
	a = vector<int> (h);
	b = vector<int> (w);
	for (int i = 0; i < h; i++) {
		cin >> a[i];
	}
	for (int j = 0; j < w; j++) {
		cin >> b[j];
	}
	built_logt(w + h);
	as = *new sparse(a);
	bs = *new sparse(b);
	for (int k = 0; k < q; k++) {
		int i, j;
		cin >> i >> j;
		i--, j--;
		int ans = 1;
		for (int j1 = j + 1; j1 < w; j1++) {
			ans = max(ans, j1 - j + 1);
			if(b[j1] > a[i]) {
				ans = max(ans, j1 - j + solve(i, j1));
				break;
			}
		}
		for (int j1 = j - 1; j1 >= 0; j1--) {
			ans = max(ans, j - j1 + 1);
			if(b[j1] > a[i]) {
				ans = max(ans, j - j1 + solve(i, j1));
				break;
			}
		}


		for (int i1 = i + 1; i1 < h; i1++) {
			ans = max(ans, i1 - i + 1);
			if(a[i1] > b[j]) {
				ans = max(ans, i1 - i + solve(i1, j));
				break;
			}
		}
		for (int i1 = i - 1; i1 >= 0; i1--) {
			ans = max(ans, i - i1 + 1);
			if(a[i1] > b[j]) {
				ans = max(ans, i - i1 + solve(i1, j));
				break;
			}
		}

		cout << ans - 1 << '\n';
	}

}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 6 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 6 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 6 ms 352 KB Output is correct
11 Correct 5 ms 248 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 6 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 6 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 6 ms 352 KB Output is correct
11 Correct 5 ms 248 KB Output is correct
12 Correct 6 ms 888 KB Output is correct
13 Correct 7 ms 888 KB Output is correct
14 Correct 6 ms 888 KB Output is correct
15 Correct 6 ms 888 KB Output is correct
16 Correct 7 ms 888 KB Output is correct
17 Correct 8 ms 888 KB Output is correct
18 Correct 12 ms 1016 KB Output is correct
19 Correct 59 ms 1144 KB Output is correct
20 Correct 73 ms 1272 KB Output is correct
21 Correct 65 ms 1144 KB Output is correct
22 Correct 105 ms 1400 KB Output is correct

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 6 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 6 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 6 ms 352 KB Output is correct
11 Correct 5 ms 248 KB Output is correct
12 Correct 6 ms 888 KB Output is correct
13 Correct 7 ms 888 KB Output is correct
14 Correct 6 ms 888 KB Output is correct
15 Correct 6 ms 888 KB Output is correct
16 Correct 7 ms 888 KB Output is correct
17 Correct 8 ms 888 KB Output is correct
18 Correct 12 ms 1016 KB Output is correct
19 Correct 59 ms 1144 KB Output is correct
20 Correct 73 ms 1272 KB Output is correct
21 Correct 65 ms 1144 KB Output is correct
22 Correct 105 ms 1400 KB Output is correct
23 Correct 44 ms 15540 KB Output is correct
24 Correct 44 ms 15668 KB Output is correct
25 Correct 43 ms 15540 KB Output is correct
26 Correct 45 ms 15668 KB Output is correct
27 Correct 40 ms 15668 KB Output is correct
28 Execution timed out 5027 ms 18872 KB Time limit exceeded
29 Halted 0 ms 0 KB -

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 1144 KB Output is correct
2 Correct 18 ms 1144 KB Output is correct
3 Correct 19 ms 1144 KB Output is correct
4 Correct 20 ms 1144 KB Output is correct
5 Correct 18 ms 1144 KB Output is correct
6 Correct 36 ms 1144 KB Output is correct
7 Correct 34 ms 1144 KB Output is correct
8 Correct 98 ms 1400 KB Output is correct
9 Correct 92 ms 1320 KB Output is correct
10 Correct 93 ms 1400 KB Output is correct
11 Correct 117 ms 1404 KB Output is correct

Subtask #5
0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB Output is correct
2 Correct 6 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 6 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 6 ms 352 KB Output is correct
11 Correct 5 ms 248 KB Output is correct
12 Correct 6 ms 888 KB Output is correct
13 Correct 7 ms 888 KB Output is correct
14 Correct 6 ms 888 KB Output is correct
15 Correct 6 ms 888 KB Output is correct
16 Correct 7 ms 888 KB Output is correct
17 Correct 8 ms 888 KB Output is correct
18 Correct 12 ms 1016 KB Output is correct
19 Correct 59 ms 1144 KB Output is correct
20 Correct 73 ms 1272 KB Output is correct
21 Correct 65 ms 1144 KB Output is correct
22 Correct 105 ms 1400 KB Output is correct
23 Correct 44 ms 15540 KB Output is correct
24 Correct 44 ms 15668 KB Output is correct
25 Correct 43 ms 15540 KB Output is correct
26 Correct 45 ms 15668 KB Output is correct
27 Correct 40 ms 15668 KB Output is correct
28 Execution timed out 5027 ms 18872 KB Time limit exceeded
29 Halted 0 ms 0 KB -