oj.uz

Submission #626255

# Submission time Handle Problem Language Result Execution time Memory
626255 2022-08-11T10:32:21 Z Eae02 Catfish Farm (IOI22_fish) C++17
32 / 100
 957 ms 94400 KB 
#include "fish.h"

#include <bits/stdc++.h>
using ll = long long;
using namespace std;
#define all(x) begin(x),end(x)

struct SegTree {
	using T = ll; // use pair of value and index to get index from queries
	T f(T a, T b) { return max(a, b); }
	static constexpr T UNIT = 0; // neutral value for f
	
	vector<T> s; ll n;
	SegTree(ll len) : s(2 * len, UNIT), n(len) {}
	void set(ll pos, T val) {
		for (s[pos += n] = val; pos /= 2;)
			s[pos] = f(s[pos * 2], s[pos * 2 + 1]);
	}
	T query(ll lo, ll hi) { // query lo to hi (hi not included)
		if (lo >= hi) return UNIT;
		T ra = UNIT, rb = UNIT;
		for (lo += n, hi += n; lo < hi; lo /= 2, hi /= 2) {
			if (lo % 2) ra = f(ra, s[lo++]);
			if (hi % 2) rb = f(s[--hi], rb);
		}
		return f(ra, rb);
	}
};

vector<vector<pair<ll, ll>>> fishWeightSum;

ll weightSum(ll x, ll y) {
	if (x < 0 || x >= (ll)fishWeightSum.size())
		return 0;
	ll idx = lower_bound(all(fishWeightSum[x]), make_pair(y, (ll)-1)) - fishWeightSum[x].begin();
	if (fishWeightSum[x][idx].first > y)
		idx--;
	return fishWeightSum[x][idx].second;
}

long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y, std::vector<int> W) {
	if (M == 0) return 0;
	
	vector<pair<ll, ll>> piers;
	vector<tuple<ll, ll, ll>> fish;
	for (ll i = 0; i < M; i++) {
		fish.emplace_back(X[i], Y[i], W[i]);
		if (X[i] != 0)
			piers.emplace_back(X[i] - 1, Y[i]);
		if (X[i] != N - 1)
			piers.emplace_back(X[i] + 1, Y[i]);
	}
	sort(all(piers));
	piers.erase(unique(all(piers)), piers.end());
	
	sort(all(fish));
	fishWeightSum.resize(N);
	for (ll i = 0; i < N; i++) {
		fishWeightSum[i].emplace_back(-1, 0);
	}
	for (auto [x, y, w] : fish) {
		fishWeightSum[x].emplace_back(y, fishWeightSum[x].back().second + w);
	}
	for (ll i = 0; i < N; i++) {
		fishWeightSum[i].emplace_back(N + 10, fishWeightSum[i].back().second);
	}
	
	SegTree st1(piers.size());
	SegTree st2(piers.size());
	SegTree st3(piers.size());
	SegTree st4(piers.size());
	SegTree st5(piers.size());
	
	vector<array<ll, 2>> dpv(piers.size() + 1);
	array<ll, 2>* dp = &dpv[1];
	for (ll lp = (ll)piers.size() - 1; lp >= -1; lp--) {
		ll cx = lp == -1 ? -5 : piers[lp].first;
		ll cy = lp == -1 ? -5 : piers[lp].second;
		
		ll x1ShorterFirstIdx = lower_bound(all(piers), make_pair(cx + 1, (ll)-1)) - piers.begin();
		ll x1LongerFirstIdx = lower_bound(all(piers), make_pair(cx + 1, cy)) - piers.begin();
		ll x2ShorterFirstIdx = lower_bound(all(piers), make_pair(cx + 2, (ll)-1)) - piers.begin();
		ll x2LongerFirstIdx = lower_bound(all(piers), make_pair(cx + 2, cy)) - piers.begin();
		ll c3FirstIdx = lower_bound(all(piers), make_pair(cx + 3, (ll)-1)) - piers.begin();
		
		for (ll allowNext = 0; allowNext < 2; allowNext++) {
			ll ans = 0;
			if (allowNext) {
				ans = max(ans, st1.query(x1ShorterFirstIdx, x1LongerFirstIdx));
				//for (ll np = x1ShorterFirstIdx; np < x1LongerFirstIdx; np++) {
				//	auto [nx, ny] = piers[np];
				//	ans = max(ans, dp[np][0] + weightSum(nx + 1, ny) - weightSum(nx, ny));
				//}
				
				ans = max(ans, max(st2.query(x1LongerFirstIdx, x2ShorterFirstIdx), 0LL) - weightSum(cx, cy) - weightSum(cx + 1, cy));
				//for (ll np = x1LongerFirstIdx; np < x2ShorterFirstIdx; np++) {
				//	auto [nx, ny] = piers[np];
				//	ans = max(ans, dp[np][1] + weightSum(nx + 1, ny) + weightSum(nx - 1, ny) - weightSum(cx, cy) - weightSum(cx + 1, cy));
				//}
			}
			
			ans = max(ans, st3.query(x2ShorterFirstIdx, x2LongerFirstIdx));
			//for (ll np = x2ShorterFirstIdx; np < x2LongerFirstIdx; np++) {
			//	auto [nx, ny] = piers[np];
			//	ans = max(ans, dp[np][1] + weightSum(nx + 1, ny));
			//}
			
			ans = max(ans, max(st4.query(x2LongerFirstIdx, c3FirstIdx), 0LL) - weightSum(cx + 1, cy));
			//for (ll np = x2LongerFirstIdx; np < c3FirstIdx; np++) {
			//	auto [nx, ny] = piers[np];
			//	ans = max(ans, dp[np][1] + weightSum(nx + 1, ny) + weightSum(nx - 1, ny) - weightSum(cx + 1, cy));
			//}
			
			ans = max(ans, st5.query(c3FirstIdx, (ll)piers.size()));
			//for (ll np = c3FirstIdx; np < (ll)piers.size(); np++) {
			//	auto [nx, ny] = piers[np];
			//	ans = max(ans, dp[np][1] + weightSum(nx + 1, ny) + weightSum(nx - 1, ny));
			//}
			
			dp[lp][allowNext] = ans;
		}
		
		if (lp != -1) {
			st1.set(lp, dp[lp][0] + weightSum(cx + 1, cy) - weightSum(cx, cy));
			st2.set(lp, dp[lp][1] + weightSum(cx + 1, cy) + weightSum(cx - 1, cy));
			st3.set(lp, dp[lp][1] + weightSum(cx + 1, cy));
			st4.set(lp, dp[lp][1] + weightSum(cx + 1, cy) + weightSum(cx - 1, cy));
			st5.set(lp, dp[lp][1] + weightSum(cx + 1, cy) + weightSum(cx - 1, cy));
		}
	}
	
	return dp[-1][1];
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 95 ms 21300 KB Output is correct
2 Correct 120 ms 25196 KB Output is correct
3 Correct 11 ms 7252 KB Output is correct
4 Correct 11 ms 7312 KB Output is correct
5 Correct 769 ms 93164 KB Output is correct
6 Correct 957 ms 94400 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 381 ms 44196 KB Output is correct
3 Correct 431 ms 53420 KB Output is correct
4 Correct 106 ms 21324 KB Output is correct
5 Correct 123 ms 25128 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 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 12 ms 7320 KB Output is correct
11 Correct 12 ms 7308 KB Output is correct
12 Correct 189 ms 30272 KB Output is correct
13 Correct 273 ms 36176 KB Output is correct
14 Correct 156 ms 25060 KB Output is correct
15 Correct 197 ms 27892 KB Output is correct
16 Correct 161 ms 25112 KB Output is correct
17 Correct 174 ms 27804 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 7252 KB Output is correct
2 Correct 13 ms 7348 KB Output is correct
3 Correct 98 ms 18060 KB Output is correct
4 Correct 64 ms 15168 KB Output is correct
5 Correct 145 ms 27756 KB Output is correct
6 Correct 144 ms 27756 KB Output is correct
7 Correct 169 ms 27752 KB Output is correct
8 Correct 148 ms 27748 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 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 3 ms 852 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 3 ms 596 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 468 KB Output is correct

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 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 3 ms 852 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 3 ms 596 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 5 ms 852 KB Output is correct
17 Correct 100 ms 10048 KB Output is correct
18 Correct 93 ms 9936 KB Output is correct
19 Correct 99 ms 10080 KB Output is correct
20 Correct 82 ms 9344 KB Output is correct
21 Correct 78 ms 9200 KB Output is correct
22 Correct 166 ms 18096 KB Output is correct
23 Correct 25 ms 2784 KB Output is correct
24 Correct 75 ms 7896 KB Output is correct
25 Incorrect 4 ms 596 KB 1st lines differ - on the 1st token, expected: '443843838929', found: '443838673362'
26 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 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 3 ms 852 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 3 ms 596 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 5 ms 852 KB Output is correct
17 Correct 100 ms 10048 KB Output is correct
18 Correct 93 ms 9936 KB Output is correct
19 Correct 99 ms 10080 KB Output is correct
20 Correct 82 ms 9344 KB Output is correct
21 Correct 78 ms 9200 KB Output is correct
22 Correct 166 ms 18096 KB Output is correct
23 Correct 25 ms 2784 KB Output is correct
24 Correct 75 ms 7896 KB Output is correct
25 Incorrect 4 ms 596 KB 1st lines differ - on the 1st token, expected: '443843838929', found: '443838673362'
26 Halted 0 ms 0 KB -

Subtask #7
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 7252 KB Output is correct
2 Correct 13 ms 7348 KB Output is correct
3 Correct 98 ms 18060 KB Output is correct
4 Correct 64 ms 15168 KB Output is correct
5 Correct 145 ms 27756 KB Output is correct
6 Correct 144 ms 27756 KB Output is correct
7 Correct 169 ms 27752 KB Output is correct
8 Correct 148 ms 27748 KB Output is correct
9 Correct 229 ms 37192 KB Output is correct
10 Correct 155 ms 22668 KB Output is correct
11 Correct 285 ms 44916 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 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 12 ms 7252 KB Output is correct
19 Correct 12 ms 7324 KB Output is correct
20 Correct 13 ms 7252 KB Output is correct
21 Correct 12 ms 7324 KB Output is correct
22 Incorrect 249 ms 36280 KB 1st lines differ - on the 1st token, expected: '45561826463480', found: '45449488300152'
23 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 95 ms 21300 KB Output is correct
2 Correct 120 ms 25196 KB Output is correct
3 Correct 11 ms 7252 KB Output is correct
4 Correct 11 ms 7312 KB Output is correct
5 Correct 769 ms 93164 KB Output is correct
6 Correct 957 ms 94400 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 381 ms 44196 KB Output is correct
9 Correct 431 ms 53420 KB Output is correct
10 Correct 106 ms 21324 KB Output is correct
11 Correct 123 ms 25128 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 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 12 ms 7320 KB Output is correct
17 Correct 12 ms 7308 KB Output is correct
18 Correct 189 ms 30272 KB Output is correct
19 Correct 273 ms 36176 KB Output is correct
20 Correct 156 ms 25060 KB Output is correct
21 Correct 197 ms 27892 KB Output is correct
22 Correct 161 ms 25112 KB Output is correct
23 Correct 174 ms 27804 KB Output is correct
24 Correct 12 ms 7252 KB Output is correct
25 Correct 13 ms 7348 KB Output is correct
26 Correct 98 ms 18060 KB Output is correct
27 Correct 64 ms 15168 KB Output is correct
28 Correct 145 ms 27756 KB Output is correct
29 Correct 144 ms 27756 KB Output is correct
30 Correct 169 ms 27752 KB Output is correct
31 Correct 148 ms 27748 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 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 3 ms 852 KB Output is correct
42 Correct 3 ms 468 KB Output is correct
43 Correct 3 ms 596 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 468 KB Output is correct
46 Correct 2 ms 340 KB Output is correct
47 Correct 5 ms 852 KB Output is correct
48 Correct 100 ms 10048 KB Output is correct
49 Correct 93 ms 9936 KB Output is correct
50 Correct 99 ms 10080 KB Output is correct
51 Correct 82 ms 9344 KB Output is correct
52 Correct 78 ms 9200 KB Output is correct
53 Correct 166 ms 18096 KB Output is correct
54 Correct 25 ms 2784 KB Output is correct
55 Correct 75 ms 7896 KB Output is correct
56 Incorrect 4 ms 596 KB 1st lines differ - on the 1st token, expected: '443843838929', found: '443838673362'
57 Halted 0 ms 0 KB -