oj.uz

Submission #566317

# Submission time Handle Problem Language Result Execution time Memory
566317 2022-05-22T08:38:34 Z blue Abduction 2 (JOI17_abduction2) C++17
100 / 100
 1115 ms 14832 KB 
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int, int>;
using vpii = vector<pii>;
using ll = long long;
using pll = pair<ll, ll>;
using vll = vector<ll>;
using namespace std;

struct node
{
	int r, c, i;
};

const int mx = 50'000;

vi A(1+mx), B(1+mx);

const ll inf = 1'000'000'000'000'000LL;

int congestion(int i)
{
	if(i > 0)
		return A[i];
	else
		return B[-i];
}

struct inedge
{
	int i; //index
	int c; //congestion
	ll d; //dp
};

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	int H, W, Q;
	cin >> H >> W >> Q;

	for(int i = 1; i <= H; i++)
		cin >> A[i];

	for(int j = 1; j <= W; j++)
		cin >> B[j];

	vi roads;
	for(int i = 1; i <= H; i++)
		roads.push_back(i);
	for(int j = 1; j <= W; j++)
		roads.push_back(-j);

	sort(roads.begin(), roads.end(), [] (int p, int q)
	{
		return congestion(p) < congestion(q);
	});

	A[0] = B[0] = 0;

	for(int q = 1; q <= Q; q++)
	{
		int S, T;
		cin >> S >> T;

		ll res = 0;

		// vll horiz_left(1+H, -inf), horiz_center(1+H, -inf), horiz_right(1+H, -inf); //dp
		// vll vert_up(1+W, -inf), vert_center(1+W, -inf), vert_down(1+W, -inf);

		ll ui = S-1, di = S+1, li = T-1, ri = T+1;

		vector<inedge> horiz_in[1+H], vert_in[1+W];

		horiz_in[S].push_back({T, 0, 0});
		vert_in[T].push_back({S, 0, 0});

		for(int f : roads)
		{
			if(f > 0) //road is horizontal
			{
				ll hl = -inf, hc = -inf, hr = -inf;

				int z = f;

				while(li >= 1 && B[li] < A[z])
					li--;

				while(ri <= W && B[ri] < A[z])
					ri++;

				for(inedge x : horiz_in[z])
				{
					if(x.c >= A[z]) continue;

					if(x.i <= li || ri <= x.i) continue;

					if(A[z] < B[T])
						hc = max(hc, x.d + abs(T - x.i));

					if(li != 0 && (x.i <= T || A[z] > B[T]))
					{
						hl = max(hl, x.d + abs(li - x.i));
					}
					else if(li == 0 && (x.i <= T || A[z] > B[T]))
						res = max(res, x.d + abs(x.i - 1));

					if(ri != W+1 && (x.i >= T || A[z] > B[T]))
					{
						hr = max(hr, x.d + abs(ri - x.i));
					}
					else if(ri == W+1 && (x.i >= T || A[z] > B[T]))
						res = max(res, x.d + abs(x.i - W));
				}

				if(A[z] < B[T])
				{
					vert_in[T].push_back({z, A[z], hc});
				}

				if(li != 0)
					vert_in[li].push_back({z, A[z], hl});

				if(ri != W+1)
					vert_in[ri].push_back({z, A[z], hr});
			}
			else
			{
				ll vu = -inf, vc = -inf, vd = -inf;

				int z = -f;

				while(ui >= 1 && A[ui] < B[z])
					ui--;

				while(di <= H && A[di] < B[z])
					di++;

				for(inedge x : vert_in[z])
				{
					if(x.c >= B[z]) continue;

					if(x.i <= ui || di <= x.i) continue;

					if(B[z] < A[S])
						vc = max(vc, x.d + abs(S - x.i));

					if(ui != 0 && (x.i <= S || B[z] > A[S]))
					{
						vu = max(vu, x.d + abs(ui - x.i));
					}
					else if(ui == 0 && (x.i <= S || B[z] > A[S]))
						res = max(res, x.d + abs(1 - x.i));

					if(di != H+1 && (x.i >= S || B[z] > A[S]))
					{
						vd = max(vd, x.d + abs(di - x.i));
					}
					else if(di == H+1 && (x.i >= S || B[z] > A[S]))
						res = max(res, x.d + abs(H - x.i));
				}

				if(B[z] < A[S])
				{
					horiz_in[S].push_back({z, B[z], vc});
				}

				if(ui != 0)
					horiz_in[ui].push_back({z, B[z], vu});

				if(di != H+1)
					horiz_in[di].push_back({z, B[z], vd});
			}
		}

		cout << res << '\n';
	}
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 724 KB Output is correct
2 Correct 1 ms 724 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 1 ms 724 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 724 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 724 KB Output is correct
11 Correct 1 ms 596 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 724 KB Output is correct
2 Correct 1 ms 724 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 1 ms 724 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 724 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 724 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 2 ms 980 KB Output is correct
13 Correct 2 ms 980 KB Output is correct
14 Correct 2 ms 996 KB Output is correct
15 Correct 2 ms 992 KB Output is correct
16 Correct 2 ms 1108 KB Output is correct
17 Correct 2 ms 1108 KB Output is correct
18 Correct 2 ms 1000 KB Output is correct
19 Correct 2 ms 992 KB Output is correct
20 Correct 2 ms 996 KB Output is correct
21 Correct 2 ms 996 KB Output is correct
22 Correct 2 ms 980 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 724 KB Output is correct
2 Correct 1 ms 724 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 1 ms 724 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 724 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 724 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 2 ms 980 KB Output is correct
13 Correct 2 ms 980 KB Output is correct
14 Correct 2 ms 996 KB Output is correct
15 Correct 2 ms 992 KB Output is correct
16 Correct 2 ms 1108 KB Output is correct
17 Correct 2 ms 1108 KB Output is correct
18 Correct 2 ms 1000 KB Output is correct
19 Correct 2 ms 992 KB Output is correct
20 Correct 2 ms 996 KB Output is correct
21 Correct 2 ms 996 KB Output is correct
22 Correct 2 ms 980 KB Output is correct
23 Correct 37 ms 8480 KB Output is correct
24 Correct 38 ms 9636 KB Output is correct
25 Correct 47 ms 9368 KB Output is correct
26 Correct 40 ms 9552 KB Output is correct
27 Correct 38 ms 8652 KB Output is correct
28 Correct 37 ms 7616 KB Output is correct
29 Correct 40 ms 8356 KB Output is correct
30 Correct 36 ms 9536 KB Output is correct
31 Correct 35 ms 9500 KB Output is correct
32 Correct 34 ms 9196 KB Output is correct
33 Correct 33 ms 9412 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 1128 KB Output is correct
2 Correct 22 ms 1128 KB Output is correct
3 Correct 22 ms 1136 KB Output is correct
4 Correct 20 ms 1140 KB Output is correct
5 Correct 28 ms 1116 KB Output is correct
6 Correct 29 ms 1164 KB Output is correct
7 Correct 28 ms 1216 KB Output is correct
8 Correct 41 ms 1360 KB Output is correct
9 Correct 39 ms 1152 KB Output is correct
10 Correct 40 ms 1236 KB Output is correct
11 Correct 38 ms 1276 KB Output is correct

Subtask #5
56.0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 724 KB Output is correct
2 Correct 1 ms 724 KB Output is correct
3 Correct 1 ms 596 KB Output is correct
4 Correct 1 ms 724 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 724 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 1 ms 724 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 2 ms 980 KB Output is correct
13 Correct 2 ms 980 KB Output is correct
14 Correct 2 ms 996 KB Output is correct
15 Correct 2 ms 992 KB Output is correct
16 Correct 2 ms 1108 KB Output is correct
17 Correct 2 ms 1108 KB Output is correct
18 Correct 2 ms 1000 KB Output is correct
19 Correct 2 ms 992 KB Output is correct
20 Correct 2 ms 996 KB Output is correct
21 Correct 2 ms 996 KB Output is correct
22 Correct 2 ms 980 KB Output is correct
23 Correct 37 ms 8480 KB Output is correct
24 Correct 38 ms 9636 KB Output is correct
25 Correct 47 ms 9368 KB Output is correct
26 Correct 40 ms 9552 KB Output is correct
27 Correct 38 ms 8652 KB Output is correct
28 Correct 37 ms 7616 KB Output is correct
29 Correct 40 ms 8356 KB Output is correct
30 Correct 36 ms 9536 KB Output is correct
31 Correct 35 ms 9500 KB Output is correct
32 Correct 34 ms 9196 KB Output is correct
33 Correct 33 ms 9412 KB Output is correct
34 Correct 23 ms 1128 KB Output is correct
35 Correct 22 ms 1128 KB Output is correct
36 Correct 22 ms 1136 KB Output is correct
37 Correct 20 ms 1140 KB Output is correct
38 Correct 28 ms 1116 KB Output is correct
39 Correct 29 ms 1164 KB Output is correct
40 Correct 28 ms 1216 KB Output is correct
41 Correct 41 ms 1360 KB Output is correct
42 Correct 39 ms 1152 KB Output is correct
43 Correct 40 ms 1236 KB Output is correct
44 Correct 38 ms 1276 KB Output is correct
45 Correct 614 ms 11740 KB Output is correct
46 Correct 596 ms 11992 KB Output is correct
47 Correct 698 ms 11296 KB Output is correct
48 Correct 670 ms 11116 KB Output is correct
49 Correct 667 ms 11704 KB Output is correct
50 Correct 745 ms 13596 KB Output is correct
51 Correct 737 ms 12752 KB Output is correct
52 Correct 1094 ms 13184 KB Output is correct
53 Correct 1046 ms 14232 KB Output is correct
54 Correct 1115 ms 14832 KB Output is correct
55 Correct 1074 ms 13408 KB Output is correct
56 Correct 628 ms 9192 KB Output is correct
57 Correct 651 ms 13144 KB Output is correct
58 Correct 654 ms 13224 KB Output is correct
59 Correct 700 ms 13020 KB Output is correct