oj.uz

Submission #652446

# Submission time Handle Problem Language Result Execution time Memory
652446 2022-10-22T16:56:16 Z blue Catfish Farm (IOI22_fish) C++17
78 / 100
 1000 ms 71868 KB 
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;
 
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vll>;
using pii = pair<int, int>;
using vpii = vector<pii>;
using vvpii = vector<vpii>;
using vi = vector<int>;
using vvi = vector<vi>;
using pll = pair<ll, ll>;
using vpll = vector<pll>;
#define sz(x) int(x.size())
 
void selfmax(ll& a, ll b)
{
	a = max(a, b);
}
 
const int maxN = 100'000;
 
vpll fish[1 + maxN];
vll fishpref[1 + maxN];
vll tot(1 + maxN, 0);
 
ll max_weights(int N, int M, vi X, vi Y, vi W)
{
	vvll sm(2, vll(N, 0));
	for(int j = 0; j < M; j++)
		if(X[j] < 2)
			sm[X[j]][Y[j]] += W[j];
 
	if(N == 2)
	{
		return max(sm[0][0] + sm[0][1], sm[1][0] + sm[1][1]);
	}

 
	int xmx = 0;
	for(int j = 0; j < M; j++)
	{
		X[j]++;
		xmx = max(xmx, X[j] + 2);
		Y[j]++;
	}
	xmx = min(xmx, N);
 
	// cerr << "xmx = " << xmx << '\n';
 
	vpll fish[1+N];
	ll* fishpref[1+N];
 
	vpii fishbyY[1+N];
 
	for(int j = 0; j < M; j++)
	{
		// fish[X[j]].push_back({Y[j], W[j]});
		fishbyY[Y[j]].push_back({X[j], W[j]});
		tot[X[j]] += W[j];
	}
 
	for(int y = 0; y <= N; y++)
		for(pii z : fishbyY[y])
			fish[z.first].push_back({y, z.second});
 
	for(int r = 1; r <= xmx; r++)
	{
		fish[r].push_back({N+1, 0});
		// sort(fish[r].begin(), fish[r].end());
 
		if(fish[r][0].first != 1)
		{
			fish[r].insert(fish[r].begin(), {1, 0});
		}
 
		fishpref[r] = new ll[sz(fish[r])];
		for(int i = 0; i < sz(fish[r]); i++)
		{
			fishpref[r][i] = (i == 0 ? 0 : fishpref[r][i-1]) + fish[r][i].second;
		}
	}
 
	fish[0] = vpll{{0, 0}};
	fishpref[0] = new ll[1];
	fishpref[0][0] = 0;
 
	vvll inc(1+N), dec(1+N);
	vvll incpref(1+N), decpref(1+N); //pref inc dec mx
	inc[0] = dec[0] = vll{0};
 
	// cerr << "done\n";
 
	for(int r = 1; r <= xmx; r++)
	{
		incpref[r-1] = inc[r-1];
		decpref[r-1] = dec[r-1];
		for(int i = 1; i < sz(fish[r-1]); i++)
		{
			incpref[r-1][i] = max(incpref[r-1][i-1], inc[r-1][i]);
			decpref[r-1][i] = max(decpref[r-1][i-1], dec[r-1][i]);
		}
 
 
		inc[r] = dec[r] = vll(sz(fish[r]), 0);
 
 
 
 
 
 
		vll Csuff;
		if(r >= 2)
		{
			Csuff = vll(sz(fish[r-2]));
 
			int pi = sz(fish[r-1])-1;
			ll pwt = tot[r-1];
 
			for(int j = sz(fish[r-2])-1; j >= 0; j--)
			{
				while(pi >= 0 && fish[r-1][pi].first > fish[r-2][j].first - 1)
				{
					pwt -= fish[r-1][pi].second;
					pi--;
				}
 
				// Csuff[j] = max(inc[r-2][j], dec[r-2][j]) + htwt(r-1, fish[r-2][j].first - 1);
				Csuff[j] = max(inc[r-2][j], dec[r-2][j]) + pwt;
				if(j+1 < sz(fish[r-2]))
					selfmax(Csuff[j], Csuff[j+1]);
			}
		}
 
 
		ll Dmx = 0;
		ll Did = -1;
 
		int ppi = -1;
 		int qi = -1;
 		ll qwt = 0;
 
		for(int i = 0; i < sz(fish[r]); i++)
		{
			ll basic = 0;
 
			ll Bcatch = 0;
			int Bk = -1;
 
			while(qi+1 < sz(fish[r-1]) && fish[r-1][qi+1].first <= fish[r][i].first - 1)
			{
				qi++;
				qwt += fish[r-1][qi].second;
			}
			ll prevpwt = qwt;
 
			ll constD = -(tot[r-1] - prevpwt) + tot[r-1];
 
			if(r >= 2)
			{
				//A
				selfmax(basic, max(inc[r-2][0], dec[r-2][0]) + prevpwt);
 
 
 
 
 				while(ppi+1 < sz(fish[r-2]) && fish[r-2][ppi+1].first <= fish[r][i].first)
 					ppi++;
				int ploci = ppi;
 
				while(Bk+1 < sz(fish[r-1]) && fish[r-1][Bk+1].first <= fish[r][i].first - 1)
				{
					Bk++;
					Bcatch += fish[r-1][Bk].second;
				}
				selfmax(basic, Bcatch + max(incpref[r-2][ploci], decpref[r-2][ploci]));
	
				if(ploci+1 < sz(fish[r-2]))
				{
					// cerr << ploci << " : " << sz(fish[r-2]) << '\n';
					selfmax(basic, Csuff[ploci+1]);
				}
			}
 
			selfmax(inc[r][i], basic);
			selfmax(dec[r][i], basic);
 
			//type D transition
 
			while(Did+1 < sz(fish[r-1]) && fish[r-1][Did+1].first <= fish[r][i].first)
			{
				Did++;
				Dmx = max(Dmx, inc[r-1][Did] - (Did >= 1 ? fishpref[r-1][Did-1] : 0));
			}
 
			selfmax(inc[r][i], Dmx + constD);
			selfmax(dec[r][i], Dmx + constD);
 
		}
 
		int j = sz(fish[r-1]);
		ll bestval = -1'000'000'000'000'000'000LL;
 
		int ri = sz(fish[r]);
		ll rwt = 0;
 
 
		for(int i = sz(fish[r])-1; i >= 0; i--)
		{
 			while(j-1 >= 0 && fish[r-1][j-1].first > fish[r][i].first)
 			{
 				j--;
 				while(ri-1 >= 0 && fish[r][ri-1].first >= fish[r-1][j].first)
 				{
 					ri--;
 					rwt += fish[r][ri].second;
 				}
 				bestval = max(bestval, dec[r-1][j] + tot[r] - rwt);
 			}
 
 			selfmax(dec[r][i], bestval - (i >= 1 ? fishpref[r][i-1] : 0));
		}
	}
 
	ll res = 0;
	for(vll x : inc)
		for(ll y : x)
			res = max(res, y);
	for(vll x : dec)
		for(ll y : x)
			res = max(res, y);
 
	return res;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 29964 KB Output is correct
2 Correct 66 ms 33848 KB Output is correct
3 Correct 12 ms 22212 KB Output is correct
4 Correct 12 ms 22212 KB Output is correct
5 Correct 233 ms 70540 KB Output is correct
6 Correct 329 ms 71868 KB Output is correct

Subtask #2
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5716 KB Output is correct
2 Execution timed out 1098 ms 34792 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 22212 KB Output is correct
2 Correct 73 ms 42552 KB Output is correct
3 Correct 90 ms 40276 KB Output is correct
4 Correct 80 ms 41612 KB Output is correct
5 Correct 102 ms 45696 KB Output is correct
6 Correct 100 ms 45620 KB Output is correct
7 Correct 108 ms 45608 KB Output is correct
8 Correct 108 ms 45640 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5716 KB Output is correct
2 Correct 3 ms 5716 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 3 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 3 ms 5716 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 3 ms 5844 KB Output is correct
10 Correct 4 ms 6100 KB Output is correct
11 Correct 3 ms 5844 KB Output is correct
12 Correct 3 ms 5972 KB Output is correct
13 Correct 3 ms 5716 KB Output is correct
14 Correct 4 ms 5844 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5716 KB Output is correct
2 Correct 3 ms 5716 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 3 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 3 ms 5716 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 3 ms 5844 KB Output is correct
10 Correct 4 ms 6100 KB Output is correct
11 Correct 3 ms 5844 KB Output is correct
12 Correct 3 ms 5972 KB Output is correct
13 Correct 3 ms 5716 KB Output is correct
14 Correct 4 ms 5844 KB Output is correct
15 Correct 4 ms 5844 KB Output is correct
16 Correct 4 ms 6024 KB Output is correct
17 Correct 25 ms 10132 KB Output is correct
18 Correct 25 ms 10700 KB Output is correct
19 Correct 24 ms 10504 KB Output is correct
20 Correct 27 ms 10536 KB Output is correct
21 Correct 28 ms 10544 KB Output is correct
22 Correct 49 ms 15288 KB Output is correct
23 Correct 7 ms 6740 KB Output is correct
24 Correct 20 ms 8712 KB Output is correct
25 Correct 4 ms 5972 KB Output is correct
26 Correct 8 ms 6612 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5716 KB Output is correct
2 Correct 3 ms 5716 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 3 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 3 ms 5716 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 3 ms 5844 KB Output is correct
10 Correct 4 ms 6100 KB Output is correct
11 Correct 3 ms 5844 KB Output is correct
12 Correct 3 ms 5972 KB Output is correct
13 Correct 3 ms 5716 KB Output is correct
14 Correct 4 ms 5844 KB Output is correct
15 Correct 4 ms 5844 KB Output is correct
16 Correct 4 ms 6024 KB Output is correct
17 Correct 25 ms 10132 KB Output is correct
18 Correct 25 ms 10700 KB Output is correct
19 Correct 24 ms 10504 KB Output is correct
20 Correct 27 ms 10536 KB Output is correct
21 Correct 28 ms 10544 KB Output is correct
22 Correct 49 ms 15288 KB Output is correct
23 Correct 7 ms 6740 KB Output is correct
24 Correct 20 ms 8712 KB Output is correct
25 Correct 4 ms 5972 KB Output is correct
26 Correct 8 ms 6612 KB Output is correct
27 Correct 9 ms 7124 KB Output is correct
28 Correct 168 ms 28276 KB Output is correct
29 Correct 335 ms 35028 KB Output is correct
30 Correct 144 ms 34888 KB Output is correct
31 Correct 148 ms 34804 KB Output is correct
32 Correct 166 ms 37572 KB Output is correct
33 Correct 149 ms 35052 KB Output is correct
34 Correct 154 ms 34892 KB Output is correct
35 Correct 72 ms 17860 KB Output is correct
36 Correct 165 ms 35904 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 22212 KB Output is correct
2 Correct 73 ms 42552 KB Output is correct
3 Correct 90 ms 40276 KB Output is correct
4 Correct 80 ms 41612 KB Output is correct
5 Correct 102 ms 45696 KB Output is correct
6 Correct 100 ms 45620 KB Output is correct
7 Correct 108 ms 45608 KB Output is correct
8 Correct 108 ms 45640 KB Output is correct
9 Correct 130 ms 51108 KB Output is correct
10 Correct 82 ms 29484 KB Output is correct
11 Correct 188 ms 53040 KB Output is correct
12 Correct 3 ms 5716 KB Output is correct
13 Correct 3 ms 5716 KB Output is correct
14 Correct 3 ms 5716 KB Output is correct
15 Correct 3 ms 5716 KB Output is correct
16 Correct 3 ms 5716 KB Output is correct
17 Correct 3 ms 5716 KB Output is correct
18 Correct 13 ms 22156 KB Output is correct
19 Correct 14 ms 22128 KB Output is correct
20 Correct 81 ms 42556 KB Output is correct
21 Correct 75 ms 42552 KB Output is correct
22 Correct 153 ms 51692 KB Output is correct
23 Correct 165 ms 59488 KB Output is correct
24 Correct 168 ms 60844 KB Output is correct

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 29964 KB Output is correct
2 Correct 66 ms 33848 KB Output is correct
3 Correct 12 ms 22212 KB Output is correct
4 Correct 12 ms 22212 KB Output is correct
5 Correct 233 ms 70540 KB Output is correct
6 Correct 329 ms 71868 KB Output is correct
7 Correct 4 ms 5716 KB Output is correct
8 Execution timed out 1098 ms 34792 KB Time limit exceeded
9 Halted 0 ms 0 KB -