oj.uz

답안 #753724

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
753724 2023-06-05T18:29:11 Z nicksms 메기 농장 (IOI22_fish) C++17
100 / 100
 617 ms 108180 KB 
/**
 *      Author:  Nicholas Winschel
 *      Created: 05.09.2023 22:40:58
**/

// screw this problem man. had [most of] the main insights almost immediately, couldn't work out the implementation details (i am allergic to 2 ptrs)
// for over 2 days. just gave up, checked online and someone had a 50 line solution that did pretty much exactly what I expected

// i'm not mad, you're mad.

#include <bits/stdc++.h>
using namespace std;
using ll=long long;
using db=long double;
template<class T> using V=vector<T>;
using vi = V<int>;
using vl = V<ll>;
using pi = pair<int,int>;
#define f first
#define s second
#define sz(x) (int)((x).size())

#include "fish.h"

// THIS IMPL IS NOT ORIGINAL.
const int MAXN = 1e5+5;
const ll inf = 1e18;
map<int, ll> c[MAXN], blo[MAXN];
vl dp[MAXN];
vi pos[MAXN];
V<pair<int,ll>> pre[MAXN];
ll lsum(int ind, int ub) {
	auto i = lower_bound(pre[ind].begin(),pre[ind].end(), pair<int,ll>{ub+1, -inf});
	if (i == pre[ind].begin()) return 0;
	return (--i)->second;
}

long long max_weights(int N, int M, vi X, vi Y, vi W) {
	for (int i = 0; i < M; i++) 
		c[X[i]+1][Y[i]+1] += W[i], pos[X[i]+1].push_back(Y[i]);
	for (int i = 1; i <= N; i++) {
		sort(pos[i].begin(),pos[i].end()); pos[i].push_back(N);
		ll tot = 0;
		for (auto [po, val] : c[i]) tot += val, pre[i].emplace_back(po,tot);
	}
	for (int j : pos[1]) blo[1][j]=0;
	dp[1]=vl(sz(pos[1]));
	for (int i = 2; i <= N; i++) {
		dp[i].resize(sz(pos[i]));

		// handle case where left is greater
		int l = pos[i-1].size()-1;
		ll bsf = -inf;
		for (int r = sz(pos[i]) - 1; r >= 0; r--) {
			while (l >= 0 && pos[i-1][l] >= pos[i][r])
				bsf = max(bsf, dp[i-1][l] + lsum(i, pos[i-1][l])),--l;
			dp[i][r]=bsf-lsum(i,pos[i][r]);
		}

		auto it = blo[i-1].begin();
		bsf=-inf;
		for (int r = 0; r < sz(pos[i]); r++) {
			while (it != blo[i-1].end() && it->f <= pos[i][r])
				bsf = max(bsf, it->s - lsum(i-1, it->f)),++it;
			dp[i][r]=max(dp[i][r],
							blo[i][pos[i][r]]= bsf + lsum(i-1,pos[i][r])); // why does this work again?
		}
		for (int j = 0; j < sz(pos[i-1]); j++) 
			blo[i][pos[i-1][j]] = max(blo[i][pos[i-1][j]], dp[i-1][j] + lsum(i,pos[i-1][j])); // OH
	}
	ll ret = 0;
	for (ll v : dp[N]) ret = max(ret, v);
	return ret;
}

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 135 ms 48412 KB Output is correct
2 Correct 194 ms 54268 KB Output is correct
3 Correct 28 ms 29268 KB Output is correct
4 Correct 27 ms 29248 KB Output is correct
5 Correct 617 ms 102028 KB Output is correct
6 Correct 463 ms 103608 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 16724 KB Output is correct
2 Correct 278 ms 63192 KB Output is correct
3 Correct 350 ms 71876 KB Output is correct
4 Correct 139 ms 48340 KB Output is correct
5 Correct 175 ms 54316 KB Output is correct
6 Correct 9 ms 16724 KB Output is correct
7 Correct 9 ms 16736 KB Output is correct
8 Correct 10 ms 16716 KB Output is correct
9 Correct 8 ms 16632 KB Output is correct
10 Correct 29 ms 29188 KB Output is correct
11 Correct 30 ms 29248 KB Output is correct
12 Correct 138 ms 48508 KB Output is correct
13 Correct 173 ms 54240 KB Output is correct
14 Correct 151 ms 48420 KB Output is correct
15 Correct 154 ms 49308 KB Output is correct
16 Correct 135 ms 48552 KB Output is correct
17 Correct 157 ms 51824 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 29252 KB Output is correct
2 Correct 28 ms 29268 KB Output is correct
3 Correct 71 ms 38840 KB Output is correct
4 Correct 69 ms 36728 KB Output is correct
5 Correct 136 ms 48844 KB Output is correct
6 Correct 110 ms 48124 KB Output is correct
7 Correct 118 ms 48792 KB Output is correct
8 Correct 122 ms 48804 KB Output is correct

Subtask #4
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 16724 KB Output is correct
2 Correct 10 ms 16692 KB Output is correct
3 Correct 8 ms 16732 KB Output is correct
4 Correct 11 ms 16744 KB Output is correct
5 Correct 11 ms 16724 KB Output is correct
6 Correct 10 ms 16728 KB Output is correct
7 Correct 8 ms 16740 KB Output is correct
8 Correct 10 ms 16672 KB Output is correct
9 Correct 9 ms 16820 KB Output is correct
10 Correct 12 ms 17268 KB Output is correct
11 Correct 9 ms 16852 KB Output is correct
12 Correct 9 ms 16980 KB Output is correct
13 Correct 8 ms 16724 KB Output is correct
14 Correct 9 ms 16980 KB Output is correct

Subtask #5
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 16724 KB Output is correct
2 Correct 10 ms 16692 KB Output is correct
3 Correct 8 ms 16732 KB Output is correct
4 Correct 11 ms 16744 KB Output is correct
5 Correct 11 ms 16724 KB Output is correct
6 Correct 10 ms 16728 KB Output is correct
7 Correct 8 ms 16740 KB Output is correct
8 Correct 10 ms 16672 KB Output is correct
9 Correct 9 ms 16820 KB Output is correct
10 Correct 12 ms 17268 KB Output is correct
11 Correct 9 ms 16852 KB Output is correct
12 Correct 9 ms 16980 KB Output is correct
13 Correct 8 ms 16724 KB Output is correct
14 Correct 9 ms 16980 KB Output is correct
15 Correct 10 ms 16852 KB Output is correct
16 Correct 11 ms 17108 KB Output is correct
17 Correct 57 ms 26316 KB Output is correct
18 Correct 55 ms 26444 KB Output is correct
19 Correct 56 ms 26344 KB Output is correct
20 Correct 54 ms 26208 KB Output is correct
21 Correct 49 ms 26060 KB Output is correct
22 Correct 101 ms 35304 KB Output is correct
23 Correct 18 ms 19056 KB Output is correct
24 Correct 43 ms 23884 KB Output is correct
25 Correct 10 ms 16964 KB Output is correct
26 Correct 18 ms 18792 KB Output is correct

Subtask #6
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 16724 KB Output is correct
2 Correct 10 ms 16692 KB Output is correct
3 Correct 8 ms 16732 KB Output is correct
4 Correct 11 ms 16744 KB Output is correct
5 Correct 11 ms 16724 KB Output is correct
6 Correct 10 ms 16728 KB Output is correct
7 Correct 8 ms 16740 KB Output is correct
8 Correct 10 ms 16672 KB Output is correct
9 Correct 9 ms 16820 KB Output is correct
10 Correct 12 ms 17268 KB Output is correct
11 Correct 9 ms 16852 KB Output is correct
12 Correct 9 ms 16980 KB Output is correct
13 Correct 8 ms 16724 KB Output is correct
14 Correct 9 ms 16980 KB Output is correct
15 Correct 10 ms 16852 KB Output is correct
16 Correct 11 ms 17108 KB Output is correct
17 Correct 57 ms 26316 KB Output is correct
18 Correct 55 ms 26444 KB Output is correct
19 Correct 56 ms 26344 KB Output is correct
20 Correct 54 ms 26208 KB Output is correct
21 Correct 49 ms 26060 KB Output is correct
22 Correct 101 ms 35304 KB Output is correct
23 Correct 18 ms 19056 KB Output is correct
24 Correct 43 ms 23884 KB Output is correct
25 Correct 10 ms 16964 KB Output is correct
26 Correct 18 ms 18792 KB Output is correct
27 Correct 10 ms 17876 KB Output is correct
28 Correct 317 ms 63280 KB Output is correct
29 Correct 508 ms 83432 KB Output is correct
30 Correct 530 ms 95176 KB Output is correct
31 Correct 494 ms 94964 KB Output is correct
32 Correct 419 ms 77848 KB Output is correct
33 Correct 502 ms 95548 KB Output is correct
34 Correct 439 ms 95764 KB Output is correct
35 Correct 155 ms 45900 KB Output is correct
36 Correct 465 ms 93924 KB Output is correct

Subtask #7
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 29252 KB Output is correct
2 Correct 28 ms 29268 KB Output is correct
3 Correct 71 ms 38840 KB Output is correct
4 Correct 69 ms 36728 KB Output is correct
5 Correct 136 ms 48844 KB Output is correct
6 Correct 110 ms 48124 KB Output is correct
7 Correct 118 ms 48792 KB Output is correct
8 Correct 122 ms 48804 KB Output is correct
9 Correct 133 ms 54816 KB Output is correct
10 Correct 105 ms 41932 KB Output is correct
11 Correct 225 ms 67112 KB Output is correct
12 Correct 8 ms 16680 KB Output is correct
13 Correct 9 ms 16724 KB Output is correct
14 Correct 9 ms 16672 KB Output is correct
15 Correct 8 ms 16740 KB Output is correct
16 Correct 9 ms 16744 KB Output is correct
17 Correct 8 ms 16740 KB Output is correct
18 Correct 28 ms 29268 KB Output is correct
19 Correct 27 ms 29248 KB Output is correct
20 Correct 28 ms 29252 KB Output is correct
21 Correct 28 ms 29160 KB Output is correct
22 Correct 153 ms 55036 KB Output is correct
23 Correct 249 ms 73512 KB Output is correct
24 Correct 246 ms 73996 KB Output is correct

Subtask #8
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 135 ms 48412 KB Output is correct
2 Correct 194 ms 54268 KB Output is correct
3 Correct 28 ms 29268 KB Output is correct
4 Correct 27 ms 29248 KB Output is correct
5 Correct 617 ms 102028 KB Output is correct
6 Correct 463 ms 103608 KB Output is correct
7 Correct 9 ms 16724 KB Output is correct
8 Correct 278 ms 63192 KB Output is correct
9 Correct 350 ms 71876 KB Output is correct
10 Correct 139 ms 48340 KB Output is correct
11 Correct 175 ms 54316 KB Output is correct
12 Correct 9 ms 16724 KB Output is correct
13 Correct 9 ms 16736 KB Output is correct
14 Correct 10 ms 16716 KB Output is correct
15 Correct 8 ms 16632 KB Output is correct
16 Correct 29 ms 29188 KB Output is correct
17 Correct 30 ms 29248 KB Output is correct
18 Correct 138 ms 48508 KB Output is correct
19 Correct 173 ms 54240 KB Output is correct
20 Correct 151 ms 48420 KB Output is correct
21 Correct 154 ms 49308 KB Output is correct
22 Correct 135 ms 48552 KB Output is correct
23 Correct 157 ms 51824 KB Output is correct
24 Correct 26 ms 29252 KB Output is correct
25 Correct 28 ms 29268 KB Output is correct
26 Correct 71 ms 38840 KB Output is correct
27 Correct 69 ms 36728 KB Output is correct
28 Correct 136 ms 48844 KB Output is correct
29 Correct 110 ms 48124 KB Output is correct
30 Correct 118 ms 48792 KB Output is correct
31 Correct 122 ms 48804 KB Output is correct
32 Correct 8 ms 16724 KB Output is correct
33 Correct 10 ms 16692 KB Output is correct
34 Correct 8 ms 16732 KB Output is correct
35 Correct 11 ms 16744 KB Output is correct
36 Correct 11 ms 16724 KB Output is correct
37 Correct 10 ms 16728 KB Output is correct
38 Correct 8 ms 16740 KB Output is correct
39 Correct 10 ms 16672 KB Output is correct
40 Correct 9 ms 16820 KB Output is correct
41 Correct 12 ms 17268 KB Output is correct
42 Correct 9 ms 16852 KB Output is correct
43 Correct 9 ms 16980 KB Output is correct
44 Correct 8 ms 16724 KB Output is correct
45 Correct 9 ms 16980 KB Output is correct
46 Correct 10 ms 16852 KB Output is correct
47 Correct 11 ms 17108 KB Output is correct
48 Correct 57 ms 26316 KB Output is correct
49 Correct 55 ms 26444 KB Output is correct
50 Correct 56 ms 26344 KB Output is correct
51 Correct 54 ms 26208 KB Output is correct
52 Correct 49 ms 26060 KB Output is correct
53 Correct 101 ms 35304 KB Output is correct
54 Correct 18 ms 19056 KB Output is correct
55 Correct 43 ms 23884 KB Output is correct
56 Correct 10 ms 16964 KB Output is correct
57 Correct 18 ms 18792 KB Output is correct
58 Correct 10 ms 17876 KB Output is correct
59 Correct 317 ms 63280 KB Output is correct
60 Correct 508 ms 83432 KB Output is correct
61 Correct 530 ms 95176 KB Output is correct
62 Correct 494 ms 94964 KB Output is correct
63 Correct 419 ms 77848 KB Output is correct
64 Correct 502 ms 95548 KB Output is correct
65 Correct 439 ms 95764 KB Output is correct
66 Correct 155 ms 45900 KB Output is correct
67 Correct 465 ms 93924 KB Output is correct
68 Correct 133 ms 54816 KB Output is correct
69 Correct 105 ms 41932 KB Output is correct
70 Correct 225 ms 67112 KB Output is correct
71 Correct 8 ms 16680 KB Output is correct
72 Correct 9 ms 16724 KB Output is correct
73 Correct 9 ms 16672 KB Output is correct
74 Correct 8 ms 16740 KB Output is correct
75 Correct 9 ms 16744 KB Output is correct
76 Correct 8 ms 16740 KB Output is correct
77 Correct 28 ms 29268 KB Output is correct
78 Correct 27 ms 29248 KB Output is correct
79 Correct 28 ms 29252 KB Output is correct
80 Correct 28 ms 29160 KB Output is correct
81 Correct 153 ms 55036 KB Output is correct
82 Correct 249 ms 73512 KB Output is correct
83 Correct 246 ms 73996 KB Output is correct
84 Correct 544 ms 102780 KB Output is correct
85 Correct 592 ms 103428 KB Output is correct
86 Correct 421 ms 106148 KB Output is correct
87 Correct 447 ms 107996 KB Output is correct
88 Correct 8 ms 16724 KB Output is correct
89 Correct 489 ms 108180 KB Output is correct
90 Correct 427 ms 102412 KB Output is correct
91 Correct 397 ms 93716 KB Output is correct