Submission #638616

# Submission time Handle Problem Language Result Execution time Memory
638616 2022-09-06T13:43:07 Z maomao90 Catfish Farm (IOI22_fish) C++17
100 / 100
309 ms 70680 KB
// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
#include "fish.h"
using namespace std;
 
#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;
 
#ifndef DEBUG
#define cerr if (0) cerr
#endif
 
const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 100005;
const int MAXM = 300005;

int n, m;
vii fish[MAXN];
vector<pair<int, ll>> dp[2][MAXN];

ll max_weights(int N, int M, vi X, vi Y, vi W) {
    n = N; m = M;
    REP (i, 0, m) {
	X[i]++; Y[i]++;
	fish[X[i]].pb({Y[i], W[i]});
    }
    REP (i, 1, n + 1) {
	sort(ALL(fish[i]));
    }
    dp[0][0].pb({0, 0});
    dp[1][0].pb({0, 0});
    REP (i, 1, n + 1) {
	vi cand;
	for (auto [y, w] : fish[i - 1]) {
	    cand.pb(y);
	}
	for (auto [y, w] : fish[i]) {
	    cand.pb(y - 1);
	}
	for (auto [y, w] : fish[i + 1]) {
	    cand.pb(y);
	}
	cand.pb(0);
	sort(ALL(cand));
	cand.resize(unique(ALL(cand)) - cand.begin());
	REP (z, 0, 2) {
	    REP (j, 0, SZ(cand)) {
		dp[z][i].pb({cand[j], 0});
	    }
	}
	{ // .^
	    auto fptr = fish[i - 1].begin();
	    auto fdptr = fish[i - 1].begin();
	    auto dptr = dp[0][i - 1].begin();
	    ll sm = 0;
	    ll sub = 0;
	    ll mx = 0;
	    REP (j, 0, SZ(cand)) {
		while (fptr != fish[i - 1].end() && fptr -> FI <= cand[j]) {
		    sm += fptr -> SE;
		    ++fptr;
		}
		while (dptr != dp[0][i - 1].end() && dptr -> FI <= cand[j]) {
		    while (fdptr != fish[i - 1].end() && fdptr -> FI <= dptr -> FI) {
			sub += fdptr -> SE;
			++fdptr;
		    }
		    mxto(mx, dptr -> SE - sub);
		    ++dptr;
		}
		mxto(dp[0][i][j].SE, mx + sm);
		mxto(dp[1][i][j].SE, mx + sm);
	    }
	}
	{ // ^.
	    ll sm = 0;
	    auto fdptr = fish[i].begin();
	    auto fptr = fish[i].begin();
	    auto dptr = dp[1][i - 1].end();
	    while (fdptr != fish[i].end() && fdptr -> FI <= prev(dptr) -> FI) {
		sm += fdptr -> SE;
		++fdptr;
	    }
	    ll sub = 0;
	    while (fptr != fish[i].end() && fptr -> FI <= cand.back()) {
		sub += fptr -> SE;
		fptr++;
	    }
	    ll mx = 0;
	    RREP (j, SZ(cand) - 1, 0) {
		while (fptr != fish[i].begin() && prev(fptr) -> FI > cand[j]) {
		    --fptr;
		    sub -= fptr -> SE;
		}
		while (dptr != dp[1][i - 1].begin() && prev(dptr) -> FI >= cand[j]) {
		    --dptr;
		    while (fdptr != fish[i].begin() && prev(fdptr) -> FI > dptr -> FI) {
			--fdptr;
			sm -= fdptr -> SE;
		    }
		    mxto(mx, dptr -> SE + sm);
		}
		mxto(dp[1][i][j].SE, mx - sub);
	    }
	}
	{ // ._^
	    auto fptr = fish[i - 1].begin();
	    auto dptr = dp[1][i - 2].begin();
	    ll sm = 0;
	    ll mx = 0;
	    REP (j, 0, SZ(cand)) {
		while (fptr != fish[i - 1].end() && fptr -> FI <= cand[j]) {
		    sm += fptr -> SE;
		    ++fptr;
		}
		while (dptr != dp[1][i - 2].end() && dptr -> FI <= cand[j]) {
		    mxto(mx, dptr -> SE);
		    ++dptr;
		}
		mxto(dp[0][i][j].SE, mx + sm);
		mxto(dp[1][i][j].SE, mx + sm);
	    }
	}
	{ // ^_.
	    ll sm = 0;
	    auto fdptr = fish[i - 1].begin();
	    auto dptr = dp[1][i - 2].end();
	    while (fdptr != fish[i - 1].end() && fdptr -> FI <= prev(dptr) -> FI) {
		sm += fdptr -> SE;
		++fdptr;
	    }
	    ll mx = 0;
	    RREP (j, SZ(cand) - 1, 0) {
		while (dptr != dp[1][i - 2].begin() && prev(dptr) -> FI >= cand[j]) {
		    --dptr;
		    while (fdptr != fish[i - 1].begin() && prev(fdptr) -> FI > dptr -> FI) {
			--fdptr;
			sm -= fdptr -> SE;
		    }
		    mxto(mx, dptr -> SE + sm);
		}
		mxto(dp[0][i][j].SE, mx);
		mxto(dp[1][i][j].SE, mx);
	    }
	}
	cerr << i << ' ' << 0 << '\n';
	for (auto [y, v] : dp[0][i]) {
	    cerr << ' ' << y << ' ' << v << '\n';
	}
	cerr << i << ' ' << 1 << '\n';
	for (auto [y, v] : dp[1][i]) {
	    cerr << ' ' << y << ' ' << v << '\n';
	}
    }
    ll ans = 0;
    for (auto [y, v] : dp[1][n]) {
	mxto(ans, v);
    }
    return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 79 ms 21756 KB Output is correct
2 Correct 84 ms 24380 KB Output is correct
3 Correct 20 ms 13556 KB Output is correct
4 Correct 21 ms 13512 KB Output is correct
5 Correct 265 ms 59240 KB Output is correct
6 Correct 309 ms 70680 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 127 ms 28720 KB Output is correct
3 Correct 156 ms 32512 KB Output is correct
4 Correct 83 ms 21604 KB Output is correct
5 Correct 82 ms 24484 KB Output is correct
6 Correct 4 ms 7252 KB Output is correct
7 Correct 4 ms 7252 KB Output is correct
8 Correct 4 ms 7348 KB Output is correct
9 Correct 3 ms 7252 KB Output is correct
10 Correct 20 ms 13524 KB Output is correct
11 Correct 20 ms 13616 KB Output is correct
12 Correct 81 ms 24324 KB Output is correct
13 Correct 108 ms 27592 KB Output is correct
14 Correct 65 ms 23016 KB Output is correct
15 Correct 81 ms 22280 KB Output is correct
16 Correct 75 ms 22960 KB Output is correct
17 Correct 83 ms 24792 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 13560 KB Output is correct
2 Correct 21 ms 13608 KB Output is correct
3 Correct 62 ms 18308 KB Output is correct
4 Correct 56 ms 16972 KB Output is correct
5 Correct 78 ms 22148 KB Output is correct
6 Correct 76 ms 22876 KB Output is correct
7 Correct 84 ms 23428 KB Output is correct
8 Correct 85 ms 23512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 5 ms 7252 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 5 ms 7252 KB Output is correct
5 Correct 4 ms 7252 KB Output is correct
6 Correct 4 ms 7252 KB Output is correct
7 Correct 4 ms 7252 KB Output is correct
8 Correct 4 ms 7252 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 5 ms 7508 KB Output is correct
11 Correct 5 ms 7380 KB Output is correct
12 Correct 5 ms 7380 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 5 ms 7252 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 5 ms 7252 KB Output is correct
5 Correct 4 ms 7252 KB Output is correct
6 Correct 4 ms 7252 KB Output is correct
7 Correct 4 ms 7252 KB Output is correct
8 Correct 4 ms 7252 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 5 ms 7508 KB Output is correct
11 Correct 5 ms 7380 KB Output is correct
12 Correct 5 ms 7380 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
15 Correct 4 ms 7380 KB Output is correct
16 Correct 5 ms 7508 KB Output is correct
17 Correct 32 ms 12744 KB Output is correct
18 Correct 32 ms 12500 KB Output is correct
19 Correct 26 ms 12600 KB Output is correct
20 Correct 23 ms 12092 KB Output is correct
21 Correct 25 ms 12108 KB Output is correct
22 Correct 45 ms 16964 KB Output is correct
23 Correct 10 ms 8864 KB Output is correct
24 Correct 23 ms 11064 KB Output is correct
25 Correct 5 ms 7524 KB Output is correct
26 Correct 11 ms 8728 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 5 ms 7252 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 5 ms 7252 KB Output is correct
5 Correct 4 ms 7252 KB Output is correct
6 Correct 4 ms 7252 KB Output is correct
7 Correct 4 ms 7252 KB Output is correct
8 Correct 4 ms 7252 KB Output is correct
9 Correct 4 ms 7380 KB Output is correct
10 Correct 5 ms 7508 KB Output is correct
11 Correct 5 ms 7380 KB Output is correct
12 Correct 5 ms 7380 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
15 Correct 4 ms 7380 KB Output is correct
16 Correct 5 ms 7508 KB Output is correct
17 Correct 32 ms 12744 KB Output is correct
18 Correct 32 ms 12500 KB Output is correct
19 Correct 26 ms 12600 KB Output is correct
20 Correct 23 ms 12092 KB Output is correct
21 Correct 25 ms 12108 KB Output is correct
22 Correct 45 ms 16964 KB Output is correct
23 Correct 10 ms 8864 KB Output is correct
24 Correct 23 ms 11064 KB Output is correct
25 Correct 5 ms 7524 KB Output is correct
26 Correct 11 ms 8728 KB Output is correct
27 Correct 6 ms 7892 KB Output is correct
28 Correct 107 ms 30584 KB Output is correct
29 Correct 193 ms 40116 KB Output is correct
30 Correct 219 ms 70464 KB Output is correct
31 Correct 216 ms 69860 KB Output is correct
32 Correct 159 ms 37828 KB Output is correct
33 Correct 219 ms 70668 KB Output is correct
34 Correct 219 ms 70336 KB Output is correct
35 Correct 83 ms 24908 KB Output is correct
36 Correct 196 ms 54228 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 13560 KB Output is correct
2 Correct 21 ms 13608 KB Output is correct
3 Correct 62 ms 18308 KB Output is correct
4 Correct 56 ms 16972 KB Output is correct
5 Correct 78 ms 22148 KB Output is correct
6 Correct 76 ms 22876 KB Output is correct
7 Correct 84 ms 23428 KB Output is correct
8 Correct 85 ms 23512 KB Output is correct
9 Correct 96 ms 29044 KB Output is correct
10 Correct 68 ms 20092 KB Output is correct
11 Correct 139 ms 33328 KB Output is correct
12 Correct 3 ms 7252 KB Output is correct
13 Correct 3 ms 7252 KB Output is correct
14 Correct 4 ms 7252 KB Output is correct
15 Correct 4 ms 7252 KB Output is correct
16 Correct 3 ms 7252 KB Output is correct
17 Correct 4 ms 7252 KB Output is correct
18 Correct 20 ms 13524 KB Output is correct
19 Correct 21 ms 13616 KB Output is correct
20 Correct 20 ms 13596 KB Output is correct
21 Correct 20 ms 13560 KB Output is correct
22 Correct 119 ms 32328 KB Output is correct
23 Correct 157 ms 40880 KB Output is correct
24 Correct 171 ms 44528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 79 ms 21756 KB Output is correct
2 Correct 84 ms 24380 KB Output is correct
3 Correct 20 ms 13556 KB Output is correct
4 Correct 21 ms 13512 KB Output is correct
5 Correct 265 ms 59240 KB Output is correct
6 Correct 309 ms 70680 KB Output is correct
7 Correct 4 ms 7252 KB Output is correct
8 Correct 127 ms 28720 KB Output is correct
9 Correct 156 ms 32512 KB Output is correct
10 Correct 83 ms 21604 KB Output is correct
11 Correct 82 ms 24484 KB Output is correct
12 Correct 4 ms 7252 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 4 ms 7348 KB Output is correct
15 Correct 3 ms 7252 KB Output is correct
16 Correct 20 ms 13524 KB Output is correct
17 Correct 20 ms 13616 KB Output is correct
18 Correct 81 ms 24324 KB Output is correct
19 Correct 108 ms 27592 KB Output is correct
20 Correct 65 ms 23016 KB Output is correct
21 Correct 81 ms 22280 KB Output is correct
22 Correct 75 ms 22960 KB Output is correct
23 Correct 83 ms 24792 KB Output is correct
24 Correct 21 ms 13560 KB Output is correct
25 Correct 21 ms 13608 KB Output is correct
26 Correct 62 ms 18308 KB Output is correct
27 Correct 56 ms 16972 KB Output is correct
28 Correct 78 ms 22148 KB Output is correct
29 Correct 76 ms 22876 KB Output is correct
30 Correct 84 ms 23428 KB Output is correct
31 Correct 85 ms 23512 KB Output is correct
32 Correct 4 ms 7252 KB Output is correct
33 Correct 5 ms 7252 KB Output is correct
34 Correct 4 ms 7252 KB Output is correct
35 Correct 5 ms 7252 KB Output is correct
36 Correct 4 ms 7252 KB Output is correct
37 Correct 4 ms 7252 KB Output is correct
38 Correct 4 ms 7252 KB Output is correct
39 Correct 4 ms 7252 KB Output is correct
40 Correct 4 ms 7380 KB Output is correct
41 Correct 5 ms 7508 KB Output is correct
42 Correct 5 ms 7380 KB Output is correct
43 Correct 5 ms 7380 KB Output is correct
44 Correct 4 ms 7252 KB Output is correct
45 Correct 4 ms 7380 KB Output is correct
46 Correct 4 ms 7380 KB Output is correct
47 Correct 5 ms 7508 KB Output is correct
48 Correct 32 ms 12744 KB Output is correct
49 Correct 32 ms 12500 KB Output is correct
50 Correct 26 ms 12600 KB Output is correct
51 Correct 23 ms 12092 KB Output is correct
52 Correct 25 ms 12108 KB Output is correct
53 Correct 45 ms 16964 KB Output is correct
54 Correct 10 ms 8864 KB Output is correct
55 Correct 23 ms 11064 KB Output is correct
56 Correct 5 ms 7524 KB Output is correct
57 Correct 11 ms 8728 KB Output is correct
58 Correct 6 ms 7892 KB Output is correct
59 Correct 107 ms 30584 KB Output is correct
60 Correct 193 ms 40116 KB Output is correct
61 Correct 219 ms 70464 KB Output is correct
62 Correct 216 ms 69860 KB Output is correct
63 Correct 159 ms 37828 KB Output is correct
64 Correct 219 ms 70668 KB Output is correct
65 Correct 219 ms 70336 KB Output is correct
66 Correct 83 ms 24908 KB Output is correct
67 Correct 196 ms 54228 KB Output is correct
68 Correct 96 ms 29044 KB Output is correct
69 Correct 68 ms 20092 KB Output is correct
70 Correct 139 ms 33328 KB Output is correct
71 Correct 3 ms 7252 KB Output is correct
72 Correct 3 ms 7252 KB Output is correct
73 Correct 4 ms 7252 KB Output is correct
74 Correct 4 ms 7252 KB Output is correct
75 Correct 3 ms 7252 KB Output is correct
76 Correct 4 ms 7252 KB Output is correct
77 Correct 20 ms 13524 KB Output is correct
78 Correct 21 ms 13616 KB Output is correct
79 Correct 20 ms 13596 KB Output is correct
80 Correct 20 ms 13560 KB Output is correct
81 Correct 119 ms 32328 KB Output is correct
82 Correct 157 ms 40880 KB Output is correct
83 Correct 171 ms 44528 KB Output is correct
84 Correct 225 ms 52232 KB Output is correct
85 Correct 246 ms 51336 KB Output is correct
86 Correct 284 ms 64968 KB Output is correct
87 Correct 291 ms 65676 KB Output is correct
88 Correct 4 ms 7272 KB Output is correct
89 Correct 283 ms 66380 KB Output is correct
90 Correct 255 ms 53644 KB Output is correct
91 Correct 181 ms 42760 KB Output is correct