oj.uz

답안 #630817

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
630817 2022-08-17T07:04:19 Z JustInCase 메기 농장 (IOI22_fish) C++17
100 / 100
 290 ms 43412 KB 
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <stack>
#include <array>
#include <algorithm>
#include <numeric>
#include <map>
#include <unordered_map>
#include <set>
#include <cstring>
#include <cmath>
#include <iomanip>
#include <cassert>
#include <random>
#include <cstdlib>

#define debug(x) std::cout << #x << " " << (x) << '\n';
#define pb push_back
#define mp std::make_pair
#define remax(a, b) a = std::max((a), (b));
#define remin(a, b) a = std::min((a), (b));

#define maxWeights max_weights

const int32_t MAX_N = 1e5;

struct Catfish {
	int32_t row;
	int32_t id;
	mutable int64_t prefSum;

	Catfish(int32_t _row, int32_t _id, int32_t w): row(_row), id(_id), prefSum((int64_t) w) {}

	bool operator< (const Catfish &other) const {
		if(row != other.row) {
			return row <= other.row;
		}
		else {
			return id <= other.id;
		}
	}
};

struct DpState {
	int32_t row;
	mutable int64_t incrVal, decrVal;

	DpState(int32_t _row): row(_row), incrVal(0), decrVal(0) {}

	bool operator< (const DpState &other) const {
		return row <= other.row;
	}
};

int64_t maxWeights(int32_t n, int32_t m, std::vector<int32_t> x, std::vector<int32_t> y,
                      std::vector<int32_t> w) {
	std::vector<std::vector<Catfish>> catfishByColumn(n);

	for(int32_t i = 0; i < m; i++) {
		catfishByColumn[x[i]].push_back(Catfish(y[i], i, w[i]));
	}

	for(int32_t i = 0; i < n; i++) {
		std::sort(catfishByColumn[i].begin(), catfishByColumn[i].end());

		int64_t total = 0;
		for(auto &x : catfishByColumn[i]) {
			total += (int64_t) x.prefSum;
			x.prefSum = total;
		}
	}

	std::vector<std::vector<DpState>> dp(n + 1);
	for(int32_t i = 0; i <= n; i++) {
		if(i > 0 && i != n) {
			for(auto &x : catfishByColumn[i - 1]) {
				dp[i].push_back(DpState(x.row + 1));
			}
		}
		if(i < n - 1) {
			for(auto &x : catfishByColumn[i + 1]) {
				dp[i].push_back(DpState(x.row + 1));
			}
		}

		dp[i].push_back(DpState(0));

		std::sort(dp[i].begin(), dp[i].end());
	}

	auto getWPrefSum = [&](int32_t column, int32_t row) -> int64_t {
		if(column >= n) {
			return 0;
		}

		auto p = std::lower_bound(catfishByColumn[column].begin(), catfishByColumn[column].end(), Catfish(row, -1, 0));
		if(p == catfishByColumn[column].begin()) {
			return 0;
		}

		p--;
		return p->prefSum;
	};

	for(int32_t i = 1; i <= n; i++) {
		{ // compute incrVal
			auto prevIt = dp[i - 1].begin();
			int64_t pref = 0;
			for(auto it = dp[i].begin(); it != dp[i].end(); it++) {
				while(prevIt != dp[i - 1].end() && prevIt->row <= it->row) {
					remax(pref, prevIt->incrVal - getWPrefSum(i - 1, prevIt->row));
					prevIt++;
				}

				it->incrVal = std::max(pref + getWPrefSum(i - 1, it->row), dp[i - 1].begin()->decrVal);
			}
		}

		{ // compute decrVal
			auto prevIt = dp[i - 1].rbegin();
			int64_t suff = 0;
			for(auto it = dp[i].rbegin(); it != dp[i].rend(); it++) {
				while(prevIt != dp[i - 1].rend() && prevIt->row >= it->row) {
					remax(suff, std::max(prevIt->incrVal, prevIt->decrVal) + getWPrefSum(i, prevIt->row));
					prevIt++;
				}

				it->decrVal = suff - getWPrefSum(i, it->row);
			}
		}
	}

	return std::max(dp.back().begin()->incrVal, dp.back().begin()->decrVal);
}

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 57 ms 12356 KB Output is correct
2 Correct 67 ms 14316 KB Output is correct
3 Correct 13 ms 8132 KB Output is correct
4 Correct 12 ms 8104 KB Output is correct
5 Correct 249 ms 36236 KB Output is correct
6 Correct 182 ms 42316 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 128 ms 19388 KB Output is correct
3 Correct 185 ms 22956 KB Output is correct
4 Correct 55 ms 12364 KB Output is correct
5 Correct 70 ms 14376 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 14 ms 8068 KB Output is correct
11 Correct 11 ms 8020 KB Output is correct
12 Correct 71 ms 14304 KB Output is correct
13 Correct 86 ms 16688 KB Output is correct
14 Correct 62 ms 13408 KB Output is correct
15 Correct 78 ms 14852 KB Output is correct
16 Correct 64 ms 13352 KB Output is correct
17 Correct 77 ms 14764 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 8020 KB Output is correct
2 Correct 11 ms 8020 KB Output is correct
3 Correct 43 ms 14400 KB Output is correct
4 Correct 32 ms 12744 KB Output is correct
5 Correct 72 ms 21436 KB Output is correct
6 Correct 63 ms 21316 KB Output is correct
7 Correct 83 ms 21320 KB Output is correct
8 Correct 77 ms 21344 KB Output is correct

Subtask #4
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct

Subtask #5
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 35 ms 4560 KB Output is correct
18 Correct 40 ms 5716 KB Output is correct
19 Correct 29 ms 6100 KB Output is correct
20 Correct 28 ms 5972 KB Output is correct
21 Correct 28 ms 6076 KB Output is correct
22 Correct 67 ms 10528 KB Output is correct
23 Correct 6 ms 1364 KB Output is correct
24 Correct 21 ms 3412 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 7 ms 1236 KB Output is correct

Subtask #6
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 35 ms 4560 KB Output is correct
18 Correct 40 ms 5716 KB Output is correct
19 Correct 29 ms 6100 KB Output is correct
20 Correct 28 ms 5972 KB Output is correct
21 Correct 28 ms 6076 KB Output is correct
22 Correct 67 ms 10528 KB Output is correct
23 Correct 6 ms 1364 KB Output is correct
24 Correct 21 ms 3412 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 7 ms 1236 KB Output is correct
27 Correct 3 ms 852 KB Output is correct
28 Correct 172 ms 22680 KB Output is correct
29 Correct 239 ms 30436 KB Output is correct
30 Correct 209 ms 32236 KB Output is correct
31 Correct 202 ms 32128 KB Output is correct
32 Correct 229 ms 32372 KB Output is correct
33 Correct 200 ms 32248 KB Output is correct
34 Correct 199 ms 32204 KB Output is correct
35 Correct 74 ms 14596 KB Output is correct
36 Correct 222 ms 33248 KB Output is correct

Subtask #7
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 8020 KB Output is correct
2 Correct 11 ms 8020 KB Output is correct
3 Correct 43 ms 14400 KB Output is correct
4 Correct 32 ms 12744 KB Output is correct
5 Correct 72 ms 21436 KB Output is correct
6 Correct 63 ms 21316 KB Output is correct
7 Correct 83 ms 21320 KB Output is correct
8 Correct 77 ms 21344 KB Output is correct
9 Correct 72 ms 21432 KB Output is correct
10 Correct 62 ms 17728 KB Output is correct
11 Correct 135 ms 35284 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 12 ms 8020 KB Output is correct
19 Correct 12 ms 8084 KB Output is correct
20 Correct 11 ms 8020 KB Output is correct
21 Correct 11 ms 8020 KB Output is correct
22 Correct 84 ms 20044 KB Output is correct
23 Correct 150 ms 35196 KB Output is correct
24 Correct 137 ms 35272 KB Output is correct

Subtask #8
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 57 ms 12356 KB Output is correct
2 Correct 67 ms 14316 KB Output is correct
3 Correct 13 ms 8132 KB Output is correct
4 Correct 12 ms 8104 KB Output is correct
5 Correct 249 ms 36236 KB Output is correct
6 Correct 182 ms 42316 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 128 ms 19388 KB Output is correct
9 Correct 185 ms 22956 KB Output is correct
10 Correct 55 ms 12364 KB Output is correct
11 Correct 70 ms 14376 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 14 ms 8068 KB Output is correct
17 Correct 11 ms 8020 KB Output is correct
18 Correct 71 ms 14304 KB Output is correct
19 Correct 86 ms 16688 KB Output is correct
20 Correct 62 ms 13408 KB Output is correct
21 Correct 78 ms 14852 KB Output is correct
22 Correct 64 ms 13352 KB Output is correct
23 Correct 77 ms 14764 KB Output is correct
24 Correct 11 ms 8020 KB Output is correct
25 Correct 11 ms 8020 KB Output is correct
26 Correct 43 ms 14400 KB Output is correct
27 Correct 32 ms 12744 KB Output is correct
28 Correct 72 ms 21436 KB Output is correct
29 Correct 63 ms 21316 KB Output is correct
30 Correct 83 ms 21320 KB Output is correct
31 Correct 77 ms 21344 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 2 ms 468 KB Output is correct
48 Correct 35 ms 4560 KB Output is correct
49 Correct 40 ms 5716 KB Output is correct
50 Correct 29 ms 6100 KB Output is correct
51 Correct 28 ms 5972 KB Output is correct
52 Correct 28 ms 6076 KB Output is correct
53 Correct 67 ms 10528 KB Output is correct
54 Correct 6 ms 1364 KB Output is correct
55 Correct 21 ms 3412 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 7 ms 1236 KB Output is correct
58 Correct 3 ms 852 KB Output is correct
59 Correct 172 ms 22680 KB Output is correct
60 Correct 239 ms 30436 KB Output is correct
61 Correct 209 ms 32236 KB Output is correct
62 Correct 202 ms 32128 KB Output is correct
63 Correct 229 ms 32372 KB Output is correct
64 Correct 200 ms 32248 KB Output is correct
65 Correct 199 ms 32204 KB Output is correct
66 Correct 74 ms 14596 KB Output is correct
67 Correct 222 ms 33248 KB Output is correct
68 Correct 72 ms 21432 KB Output is correct
69 Correct 62 ms 17728 KB Output is correct
70 Correct 135 ms 35284 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 1 ms 212 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 0 ms 212 KB Output is correct
77 Correct 12 ms 8020 KB Output is correct
78 Correct 12 ms 8084 KB Output is correct
79 Correct 11 ms 8020 KB Output is correct
80 Correct 11 ms 8020 KB Output is correct
81 Correct 84 ms 20044 KB Output is correct
82 Correct 150 ms 35196 KB Output is correct
83 Correct 137 ms 35272 KB Output is correct
84 Correct 290 ms 34884 KB Output is correct
85 Correct 269 ms 35096 KB Output is correct
86 Correct 214 ms 42384 KB Output is correct
87 Correct 217 ms 43364 KB Output is correct
88 Correct 0 ms 212 KB Output is correct
89 Correct 216 ms 43412 KB Output is correct
90 Correct 210 ms 42596 KB Output is correct
91 Correct 182 ms 42384 KB Output is correct