oj.uz

Submission #652463

# Submission time Handle Problem Language Result Execution time Memory
652463 2022-10-22T17:11:29 Z blue Catfish Farm (IOI22_fish) C++17
100 / 100
 316 ms 68660 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);
	ll* inc[1+N];
	ll* dec[1+N];
	ll* incpref[1+N];
	ll* decpref[1+N]; //pref inc dec mx
	inc[0] = new ll[1];
	inc[0][0] = 0;

	dec[0] = new ll[1];
	dec[0][0] = 0;
 
 	ll res = 0;
	// cerr << "done\n";
 
	for(int r = 1; r <= xmx; r++)
	{
		incpref[r-1] = new ll[sz(fish[r-1])];
		decpref[r-1] = new ll[sz(fish[r-1])];

		incpref[r-1][0] = decpref[r-1][0] = 0;

		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);
		inc[r] = new ll[sz(fish[r])];
		dec[r] = new ll[sz(fish[r])];
		for(int i = 0; i < sz(fish[r]); i++)
			inc[r][i] = dec[r][i] = 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;

			ll oldqwt = qwt;
 
			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;
				// }
				Bcatch = qwt;
				// assert(Bcatch == qwt);
				// assert(Bk == qi);
				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));
		}

		for(int i = 0; i < sz(fish[r]); i++)
			selfmax(res, max(inc[r][i], dec[r][i]));
	}
 
	return res;
}

Compilation message

fish.cpp: In function 'll max_weights(int, int, vi, vi, vi)':
fish.cpp:166:7: warning: unused variable 'oldqwt' [-Wunused-variable]
  166 |    ll oldqwt = qwt;
      |       ^~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 24420 KB Output is correct
2 Correct 62 ms 27636 KB Output is correct
3 Correct 9 ms 15940 KB Output is correct
4 Correct 10 ms 15856 KB Output is correct
5 Correct 212 ms 64068 KB Output is correct
6 Correct 297 ms 65660 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5716 KB Output is correct
2 Correct 91 ms 30956 KB Output is correct
3 Correct 108 ms 35444 KB Output is correct
4 Correct 50 ms 24328 KB Output is correct
5 Correct 61 ms 27680 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 4 ms 5716 KB Output is correct
8 Correct 3 ms 5764 KB Output is correct
9 Correct 3 ms 5728 KB Output is correct
10 Correct 11 ms 15940 KB Output is correct
11 Correct 9 ms 15940 KB Output is correct
12 Correct 50 ms 24368 KB Output is correct
13 Correct 63 ms 27704 KB Output is correct
14 Correct 48 ms 24084 KB Output is correct
15 Correct 54 ms 24848 KB Output is correct
16 Correct 53 ms 24076 KB Output is correct
17 Correct 61 ms 26276 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15940 KB Output is correct
2 Correct 47 ms 36228 KB Output is correct
3 Correct 62 ms 34656 KB Output is correct
4 Correct 59 ms 35376 KB Output is correct
5 Correct 90 ms 39356 KB Output is correct
6 Correct 84 ms 39424 KB Output is correct
7 Correct 88 ms 39460 KB Output is correct
8 Correct 99 ms 39356 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 4 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 4 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 4 ms 5844 KB Output is correct
10 Correct 5 ms 6100 KB Output is correct
11 Correct 4 ms 5880 KB Output is correct
12 Correct 4 ms 5972 KB Output is correct
13 Correct 4 ms 5792 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 4 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 4 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 4 ms 5844 KB Output is correct
10 Correct 5 ms 6100 KB Output is correct
11 Correct 4 ms 5880 KB Output is correct
12 Correct 4 ms 5972 KB Output is correct
13 Correct 4 ms 5792 KB Output is correct
14 Correct 4 ms 5844 KB Output is correct
15 Correct 3 ms 5844 KB Output is correct
16 Correct 5 ms 5972 KB Output is correct
17 Correct 21 ms 10164 KB Output is correct
18 Correct 26 ms 10704 KB Output is correct
19 Correct 21 ms 10580 KB Output is correct
20 Correct 20 ms 10580 KB Output is correct
21 Correct 19 ms 10544 KB Output is correct
22 Correct 37 ms 15300 KB Output is correct
23 Correct 7 ms 6740 KB Output is correct
24 Correct 16 ms 8704 KB Output is correct
25 Correct 3 ms 5972 KB Output is correct
26 Correct 7 ms 6656 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 4 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 4 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 4 ms 5844 KB Output is correct
10 Correct 5 ms 6100 KB Output is correct
11 Correct 4 ms 5880 KB Output is correct
12 Correct 4 ms 5972 KB Output is correct
13 Correct 4 ms 5792 KB Output is correct
14 Correct 4 ms 5844 KB Output is correct
15 Correct 3 ms 5844 KB Output is correct
16 Correct 5 ms 5972 KB Output is correct
17 Correct 21 ms 10164 KB Output is correct
18 Correct 26 ms 10704 KB Output is correct
19 Correct 21 ms 10580 KB Output is correct
20 Correct 20 ms 10580 KB Output is correct
21 Correct 19 ms 10544 KB Output is correct
22 Correct 37 ms 15300 KB Output is correct
23 Correct 7 ms 6740 KB Output is correct
24 Correct 16 ms 8704 KB Output is correct
25 Correct 3 ms 5972 KB Output is correct
26 Correct 7 ms 6656 KB Output is correct
27 Correct 6 ms 6868 KB Output is correct
28 Correct 84 ms 28240 KB Output is correct
29 Correct 138 ms 34892 KB Output is correct
30 Correct 132 ms 34640 KB Output is correct
31 Correct 134 ms 34676 KB Output is correct
32 Correct 118 ms 37464 KB Output is correct
33 Correct 167 ms 34668 KB Output is correct
34 Correct 130 ms 34636 KB Output is correct
35 Correct 53 ms 17632 KB Output is correct
36 Correct 134 ms 35680 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15940 KB Output is correct
2 Correct 47 ms 36228 KB Output is correct
3 Correct 62 ms 34656 KB Output is correct
4 Correct 59 ms 35376 KB Output is correct
5 Correct 90 ms 39356 KB Output is correct
6 Correct 84 ms 39424 KB Output is correct
7 Correct 88 ms 39460 KB Output is correct
8 Correct 99 ms 39356 KB Output is correct
9 Correct 97 ms 44836 KB Output is correct
10 Correct 79 ms 26412 KB Output is correct
11 Correct 177 ms 46824 KB Output is correct
12 Correct 3 ms 5716 KB Output is correct
13 Correct 3 ms 5716 KB Output is correct
14 Correct 4 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 9 ms 15908 KB Output is correct
19 Correct 9 ms 15940 KB Output is correct
20 Correct 46 ms 36228 KB Output is correct
21 Correct 46 ms 36284 KB Output is correct
22 Correct 118 ms 45452 KB Output is correct
23 Correct 174 ms 53304 KB Output is correct
24 Correct 152 ms 54584 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 24420 KB Output is correct
2 Correct 62 ms 27636 KB Output is correct
3 Correct 9 ms 15940 KB Output is correct
4 Correct 10 ms 15856 KB Output is correct
5 Correct 212 ms 64068 KB Output is correct
6 Correct 297 ms 65660 KB Output is correct
7 Correct 3 ms 5716 KB Output is correct
8 Correct 91 ms 30956 KB Output is correct
9 Correct 108 ms 35444 KB Output is correct
10 Correct 50 ms 24328 KB Output is correct
11 Correct 61 ms 27680 KB Output is correct
12 Correct 3 ms 5716 KB Output is correct
13 Correct 4 ms 5716 KB Output is correct
14 Correct 3 ms 5764 KB Output is correct
15 Correct 3 ms 5728 KB Output is correct
16 Correct 11 ms 15940 KB Output is correct
17 Correct 9 ms 15940 KB Output is correct
18 Correct 50 ms 24368 KB Output is correct
19 Correct 63 ms 27704 KB Output is correct
20 Correct 48 ms 24084 KB Output is correct
21 Correct 54 ms 24848 KB Output is correct
22 Correct 53 ms 24076 KB Output is correct
23 Correct 61 ms 26276 KB Output is correct
24 Correct 12 ms 15940 KB Output is correct
25 Correct 47 ms 36228 KB Output is correct
26 Correct 62 ms 34656 KB Output is correct
27 Correct 59 ms 35376 KB Output is correct
28 Correct 90 ms 39356 KB Output is correct
29 Correct 84 ms 39424 KB Output is correct
30 Correct 88 ms 39460 KB Output is correct
31 Correct 99 ms 39356 KB Output is correct
32 Correct 3 ms 5716 KB Output is correct
33 Correct 4 ms 5716 KB Output is correct
34 Correct 3 ms 5716 KB Output is correct
35 Correct 3 ms 5716 KB Output is correct
36 Correct 4 ms 5716 KB Output is correct
37 Correct 3 ms 5716 KB Output is correct
38 Correct 3 ms 5716 KB Output is correct
39 Correct 3 ms 5716 KB Output is correct
40 Correct 4 ms 5844 KB Output is correct
41 Correct 5 ms 6100 KB Output is correct
42 Correct 4 ms 5880 KB Output is correct
43 Correct 4 ms 5972 KB Output is correct
44 Correct 4 ms 5792 KB Output is correct
45 Correct 4 ms 5844 KB Output is correct
46 Correct 3 ms 5844 KB Output is correct
47 Correct 5 ms 5972 KB Output is correct
48 Correct 21 ms 10164 KB Output is correct
49 Correct 26 ms 10704 KB Output is correct
50 Correct 21 ms 10580 KB Output is correct
51 Correct 20 ms 10580 KB Output is correct
52 Correct 19 ms 10544 KB Output is correct
53 Correct 37 ms 15300 KB Output is correct
54 Correct 7 ms 6740 KB Output is correct
55 Correct 16 ms 8704 KB Output is correct
56 Correct 3 ms 5972 KB Output is correct
57 Correct 7 ms 6656 KB Output is correct
58 Correct 6 ms 6868 KB Output is correct
59 Correct 84 ms 28240 KB Output is correct
60 Correct 138 ms 34892 KB Output is correct
61 Correct 132 ms 34640 KB Output is correct
62 Correct 134 ms 34676 KB Output is correct
63 Correct 118 ms 37464 KB Output is correct
64 Correct 167 ms 34668 KB Output is correct
65 Correct 130 ms 34636 KB Output is correct
66 Correct 53 ms 17632 KB Output is correct
67 Correct 134 ms 35680 KB Output is correct
68 Correct 97 ms 44836 KB Output is correct
69 Correct 79 ms 26412 KB Output is correct
70 Correct 177 ms 46824 KB Output is correct
71 Correct 3 ms 5716 KB Output is correct
72 Correct 3 ms 5716 KB Output is correct
73 Correct 4 ms 5716 KB Output is correct
74 Correct 3 ms 5716 KB Output is correct
75 Correct 3 ms 5716 KB Output is correct
76 Correct 3 ms 5716 KB Output is correct
77 Correct 9 ms 15908 KB Output is correct
78 Correct 9 ms 15940 KB Output is correct
79 Correct 46 ms 36228 KB Output is correct
80 Correct 46 ms 36284 KB Output is correct
81 Correct 118 ms 45452 KB Output is correct
82 Correct 174 ms 53304 KB Output is correct
83 Correct 152 ms 54584 KB Output is correct
84 Correct 175 ms 47520 KB Output is correct
85 Correct 169 ms 49664 KB Output is correct
86 Correct 316 ms 65632 KB Output is correct
87 Correct 274 ms 67808 KB Output is correct
88 Correct 3 ms 5716 KB Output is correct
89 Correct 293 ms 68660 KB Output is correct
90 Correct 210 ms 54444 KB Output is correct
91 Correct 154 ms 50404 KB Output is correct