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Submission #925842

# Submission time Handle Problem Language Result Execution time Memory
925842 2024-02-12T09:53:40 Z mickey080929 Abduction 2 (JOI17_abduction2) C++17
100 / 100
 854 ms 152176 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

ll H, W, Q;
map<ll,ll> memo;
ll mxl[50010][16], mxr[50010][16], mxu[50010][16], mxd[50010][16];
ll A[50010], B[50010];

ll dfs(ll x, ll y, ll dir) {
	if (memo.find(x*W*2 + y*2 + dir) != memo.end()) return memo[x*W*2 + y*2 + dir];
	ll cur = 0;
	if (dir == 0) {
		ll u = x - 1, d = x + 1;
		for (ll lv=15; lv>=0; lv--) {
			if (u - (1 << lv) >= -1 && mxu[u][lv] < B[y])
				u -= (1 << lv);
			if (d + (1 << lv) <= H && mxd[d][lv] < B[y])
				d += (1 << lv);
		}
		if (u != -1) cur = max(cur, dfs(u, y, 1) + x - u);
		else cur = max(cur, x);
		if (d != H) cur = max(cur, dfs(d, y, 1) + d - x);
		else cur = max(cur, H - x - 1);
	}
	else {
		ll l = y - 1, r = y + 1; 
		for (ll lv=15; lv>=0; lv--) {
			if (l - (1 << lv) >= -1 && mxl[l][lv] < A[x])
				l -= (1 << lv);
			if (r + (1 << lv) <= W && mxr[r][lv] < A[x])
				r += (1 << lv);
		}
		if (l != -1) cur = max(cur, dfs(x, l, 0) + y - l);
		else cur = max(cur, y);
		if (r != W) cur = max(cur, dfs(x, r, 0) + r - y);
		else cur = max(cur, W - y - 1);
	}
	memo[x*W*2 + y*2 + dir] = cur;
	return cur;
}

int main() {
	ios_base :: sync_with_stdio(false); cin.tie(NULL); 
	cin >> H >> W >> Q;
	for (ll i=0; i<H; i++) {
		cin >> A[i];
		mxu[i][0] = mxd[i][0] = A[i];
	}
	for (ll i=0; i<W; i++) {
		cin >> B[i];
		mxl[i][0] = mxr[i][0] = B[i];
	}
	for (ll lv=1; lv<=15; lv++) {
		for (ll i=0; i<H; i++) {
			if (i - (1 << lv) >= -1)
				mxu[i][lv] = max(mxu[i][lv-1], mxu[i-(1<<(lv-1))][lv-1]);
			if (i + (1 << lv) <= H)
				mxd[i][lv] = max(mxd[i][lv-1], mxd[i+(1<<(lv-1))][lv-1]);
		}
	}
	for (ll lv=1; lv<=15; lv++) {
		for (ll i=0; i<W; i++) {
			if (i - (1 << lv) >= -1)
				mxl[i][lv] = max(mxl[i][lv-1], mxl[i-(1<<(lv-1))][lv-1]);
			if (i + (1 << lv) <= W)
				mxr[i][lv] = max(mxr[i][lv-1], mxr[i+(1<<(lv-1))][lv-1]);
		}
	}
	while (Q --) {
		ll x, y;
		cin >> x >> y;
		x --; y --;
		cout << max(dfs(x, y, 0), dfs(x, y, 1)) << '\n';
	}
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 1 ms 8540 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8536 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8540 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 1 ms 8540 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8536 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8540 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 2 ms 8540 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 2 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 2 ms 8540 KB Output is correct
19 Correct 2 ms 8660 KB Output is correct
20 Correct 3 ms 8796 KB Output is correct
21 Correct 2 ms 8796 KB Output is correct
22 Correct 3 ms 9052 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 1 ms 8540 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8536 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8540 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 2 ms 8540 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 2 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 2 ms 8540 KB Output is correct
19 Correct 2 ms 8660 KB Output is correct
20 Correct 3 ms 8796 KB Output is correct
21 Correct 2 ms 8796 KB Output is correct
22 Correct 3 ms 9052 KB Output is correct
23 Correct 19 ms 26204 KB Output is correct
24 Correct 21 ms 26204 KB Output is correct
25 Correct 17 ms 26200 KB Output is correct
26 Correct 17 ms 26200 KB Output is correct
27 Correct 17 ms 26200 KB Output is correct
28 Correct 28 ms 30804 KB Output is correct
29 Correct 21 ms 26724 KB Output is correct
30 Correct 57 ms 32080 KB Output is correct
31 Correct 63 ms 33872 KB Output is correct
32 Correct 19 ms 26456 KB Output is correct
33 Correct 27 ms 27996 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8792 KB Output is correct
2 Correct 3 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 3 ms 8796 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 2 ms 8796 KB Output is correct
8 Correct 4 ms 9048 KB Output is correct
9 Correct 4 ms 9048 KB Output is correct
10 Correct 4 ms 9052 KB Output is correct
11 Correct 4 ms 9052 KB Output is correct

Subtask #5
56.0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 1 ms 8540 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8536 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8540 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 2 ms 8540 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 2 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 2 ms 8540 KB Output is correct
19 Correct 2 ms 8660 KB Output is correct
20 Correct 3 ms 8796 KB Output is correct
21 Correct 2 ms 8796 KB Output is correct
22 Correct 3 ms 9052 KB Output is correct
23 Correct 19 ms 26204 KB Output is correct
24 Correct 21 ms 26204 KB Output is correct
25 Correct 17 ms 26200 KB Output is correct
26 Correct 17 ms 26200 KB Output is correct
27 Correct 17 ms 26200 KB Output is correct
28 Correct 28 ms 30804 KB Output is correct
29 Correct 21 ms 26724 KB Output is correct
30 Correct 57 ms 32080 KB Output is correct
31 Correct 63 ms 33872 KB Output is correct
32 Correct 19 ms 26456 KB Output is correct
33 Correct 27 ms 27996 KB Output is correct
34 Correct 3 ms 8792 KB Output is correct
35 Correct 3 ms 8796 KB Output is correct
36 Correct 2 ms 8796 KB Output is correct
37 Correct 2 ms 8796 KB Output is correct
38 Correct 3 ms 8796 KB Output is correct
39 Correct 2 ms 8796 KB Output is correct
40 Correct 2 ms 8796 KB Output is correct
41 Correct 4 ms 9048 KB Output is correct
42 Correct 4 ms 9048 KB Output is correct
43 Correct 4 ms 9052 KB Output is correct
44 Correct 4 ms 9052 KB Output is correct
45 Correct 20 ms 26352 KB Output is correct
46 Correct 20 ms 26460 KB Output is correct
47 Correct 20 ms 26460 KB Output is correct
48 Correct 20 ms 26496 KB Output is correct
49 Correct 19 ms 26460 KB Output is correct
50 Correct 33 ms 30476 KB Output is correct
51 Correct 33 ms 31056 KB Output is correct
52 Correct 76 ms 36176 KB Output is correct
53 Correct 73 ms 35924 KB Output is correct
54 Correct 76 ms 35152 KB Output is correct
55 Correct 122 ms 40464 KB Output is correct
56 Correct 854 ms 152176 KB Output is correct
57 Correct 237 ms 59368 KB Output is correct
58 Correct 212 ms 57768 KB Output is correct
59 Correct 218 ms 57432 KB Output is correct