Submission #640017

# Submission time Handle Problem Language Result Execution time Memory
640017 2022-09-13T09:37:50 Z jamezzz Catfish Farm (IOI22_fish) C++17
100 / 100
515 ms 110492 KB
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;

#ifdef DEBUG
#define dbg(...) printf(__VA_ARGS__);
#define getchar_unlocked getchar
#else
#define dbg(...)
#endif
#define sf scanf
#define pf printf
#define fi first
#define se second
#define pb push_back
#define sz(x) (int)x.size()
#define mnto(x,y) x=min(x,(__typeof__(x))y)
#define mxto(x,y) x=max(x,(__typeof__(x))y)
#define INF 1023456789
#define LINF 1023456789123456789
#define all(x) x.begin(), x.end()
#define lb(x,v) (lower_bound(all(x),v)-x.begin())
#define ub(x,v) (upper_bound(all(x),v)-x.begin())
#define disc(x) sort(all(x));x.resize(unique(all(x))-x.begin());
typedef long long ll;
typedef long double ld;
typedef pair<int,int> ii;
typedef pair<ll,ll> pll;
typedef tuple<int,int,int> iii;
typedef tuple<int,int,int,int> iiii;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
mt19937 rng(time(0));

#define mod 1000000007

#define maxn 100005

int num[maxn];
vector<int> yval[maxn],impt[maxn];
vector<ii> ywpr[maxn];
vector<ll> wpfx[maxn];
vector<ll> dp[2][maxn],dppfx[maxn],dpsfx[maxn],dppfx2[maxn];

ll max_weights(int N,int M,vi X,vi Y,vi W){
	for(int i=0;i<M;++i){
		++X[i],++Y[i];
		yval[X[i]].pb(Y[i]);
		ywpr[X[i]].pb({Y[i],W[i]});
		if(X[i]-1>=1)impt[X[i]-1].pb(Y[i]);
		if(X[i]+1<=N)impt[X[i]+1].pb(Y[i]);
	}
	for(int i=0;i<=N+1;++i){
		yval[i].pb(0);
		ywpr[i].pb({0,0});
		sort(all(yval[i]));
		sort(all(ywpr[i]));
		wpfx[i].resize(yval[i].size()+5,0);
		for(int j=1;j<yval[i].size();++j){
			wpfx[i][j]+=wpfx[i][j-1]+ywpr[i][j].se;
		}
		
		impt[i].pb(0);
		disc(impt[i]);
		num[i]=impt[i].size();
		for(int x=0;x<2;++x){
			dp[x][i].resize(num[i]+5,0);
			dppfx[i].resize(num[i]+5,0);
			dpsfx[i].resize(num[i]+5,0);
			dppfx2[i].resize(num[i]+5,0);
		}
	}
	for(int pos=N;pos>=0;--pos){
		for(int id=0;id<num[pos];++id){
			int h=impt[pos][id];
			dbg("%d\n",h);
			
			//transition strictly downwards
			{
				int i=lb(impt[pos+1],h)-1;
				int y=ub(yval[pos+1],h)-1;
				dbg("down i=%d y=%d\n",i,y);
				if(h!=0){
					mxto(dp[1][pos][id],dppfx[pos+1][i]+wpfx[pos+1][y]);
					if(pos<=N-2){
						int i2=ub(impt[pos+2],h)-1;
						int y2=ub(yval[pos+1],h)-1;
						dbg("i2=%d, y2=%d\n",i2,y2);
						mxto(dp[1][pos][id],dppfx2[pos+2][i2]+wpfx[pos+1][y2]);//x 0 y<=x
						mxto(dp[1][pos][id],dpsfx[pos+2][i2+1]);//x 0 y>x
					}
				}
			}
			
			//transition upwards
			{
				int i=lb(impt[pos+1],h);
				int y=ub(yval[pos],h)-1;
				dbg("up i=%d y=%d\n",i,y);
				if(i!=impt[pos+1].size()){
					mxto(dp[0][pos][id],dpsfx[pos+1][i]-wpfx[pos][y]);
				}
				if(h!=0){
					mxto(dp[0][pos][id],dp[1][pos][id]);
				}
			}
			
			dbg("dp[%d][%d][%d]: %d\n",0,pos,id,dp[0][pos][id]);
			dbg("dp[%d][%d][%d]: %d\n",1,pos,id,dp[1][pos][id]);
			dbg("\n");
			
			if(pos!=0){
				int i=ub(yval[pos],h)-1;
				if(id!=0)dppfx[pos][id]=dp[1][pos][id]-wpfx[pos][i];
				dppfx2[pos][id]=dp[0][pos][id];
				i=ub(yval[pos-1],h)-1;
				dpsfx[pos][id]=dp[0][pos][id]+wpfx[pos-1][i];
			}
		}
		for(int id=1;id<num[pos];++id){
			mxto(dppfx[pos][id],dppfx[pos][id-1]);
			mxto(dppfx2[pos][id],dppfx2[pos][id-1]);
		}
		for(int id=num[pos]-2;id>=0;--id){
			mxto(dpsfx[pos][id],dpsfx[pos][id+1]);
		}
		
		#ifdef DEBUG
		pf("dppfx[%d]: ",pos);
		for(int id=0;id<num[pos];++id)pf("%d ",dppfx[pos][id]);
		pf("\n");
		pf("dppfx2[%d]: ",pos);
		for(int id=0;id<num[pos];++id)pf("%d ",dppfx2[pos][id]);
		pf("\n");
		pf("dpsfx[%d]: ",pos);
		for(int id=0;id<num[pos];++id)pf("%d ",dpsfx[pos][id]);
		pf("\n\n");
		#endif
	}
	return dp[0][0][0];
}

Compilation message

fish.cpp: In function 'll max_weights(int, int, vi, vi, vi)':
fish.cpp:60:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   60 |   for(int j=1;j<yval[i].size();++j){
      |               ~^~~~~~~~~~~~~~~
fish.cpp:101:9: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  101 |     if(i!=impt[pos+1].size()){
      |        ~^~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 153 ms 70976 KB Output is correct
2 Correct 175 ms 77392 KB Output is correct
3 Correct 83 ms 68684 KB Output is correct
4 Correct 83 ms 68676 KB Output is correct
5 Correct 351 ms 107996 KB Output is correct
6 Correct 515 ms 107648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21332 KB Output is correct
2 Correct 249 ms 81832 KB Output is correct
3 Correct 282 ms 90652 KB Output is correct
4 Correct 160 ms 71032 KB Output is correct
5 Correct 173 ms 77348 KB Output is correct
6 Correct 10 ms 21332 KB Output is correct
7 Correct 11 ms 21332 KB Output is correct
8 Correct 11 ms 21460 KB Output is correct
9 Correct 11 ms 21332 KB Output is correct
10 Correct 82 ms 68732 KB Output is correct
11 Correct 82 ms 68704 KB Output is correct
12 Correct 176 ms 74884 KB Output is correct
13 Correct 213 ms 81884 KB Output is correct
14 Correct 165 ms 72948 KB Output is correct
15 Correct 214 ms 78764 KB Output is correct
16 Correct 174 ms 72908 KB Output is correct
17 Correct 182 ms 78540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 83 ms 68780 KB Output is correct
2 Correct 88 ms 68820 KB Output is correct
3 Correct 136 ms 65228 KB Output is correct
4 Correct 126 ms 69704 KB Output is correct
5 Correct 185 ms 71188 KB Output is correct
6 Correct 182 ms 71756 KB Output is correct
7 Correct 204 ms 72428 KB Output is correct
8 Correct 189 ms 72460 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21420 KB Output is correct
2 Correct 11 ms 21348 KB Output is correct
3 Correct 10 ms 21332 KB Output is correct
4 Correct 11 ms 21404 KB Output is correct
5 Correct 11 ms 21392 KB Output is correct
6 Correct 11 ms 21460 KB Output is correct
7 Correct 11 ms 21332 KB Output is correct
8 Correct 11 ms 21456 KB Output is correct
9 Correct 12 ms 21588 KB Output is correct
10 Correct 12 ms 21844 KB Output is correct
11 Correct 11 ms 21604 KB Output is correct
12 Correct 11 ms 21716 KB Output is correct
13 Correct 11 ms 21460 KB Output is correct
14 Correct 12 ms 21588 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21420 KB Output is correct
2 Correct 11 ms 21348 KB Output is correct
3 Correct 10 ms 21332 KB Output is correct
4 Correct 11 ms 21404 KB Output is correct
5 Correct 11 ms 21392 KB Output is correct
6 Correct 11 ms 21460 KB Output is correct
7 Correct 11 ms 21332 KB Output is correct
8 Correct 11 ms 21456 KB Output is correct
9 Correct 12 ms 21588 KB Output is correct
10 Correct 12 ms 21844 KB Output is correct
11 Correct 11 ms 21604 KB Output is correct
12 Correct 11 ms 21716 KB Output is correct
13 Correct 11 ms 21460 KB Output is correct
14 Correct 12 ms 21588 KB Output is correct
15 Correct 11 ms 21620 KB Output is correct
16 Correct 12 ms 21596 KB Output is correct
17 Correct 49 ms 26928 KB Output is correct
18 Correct 52 ms 27412 KB Output is correct
19 Correct 48 ms 27340 KB Output is correct
20 Correct 46 ms 26960 KB Output is correct
21 Correct 41 ms 26924 KB Output is correct
22 Correct 73 ms 32464 KB Output is correct
23 Correct 20 ms 22728 KB Output is correct
24 Correct 45 ms 25620 KB Output is correct
25 Correct 12 ms 21612 KB Output is correct
26 Correct 19 ms 22588 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 21420 KB Output is correct
2 Correct 11 ms 21348 KB Output is correct
3 Correct 10 ms 21332 KB Output is correct
4 Correct 11 ms 21404 KB Output is correct
5 Correct 11 ms 21392 KB Output is correct
6 Correct 11 ms 21460 KB Output is correct
7 Correct 11 ms 21332 KB Output is correct
8 Correct 11 ms 21456 KB Output is correct
9 Correct 12 ms 21588 KB Output is correct
10 Correct 12 ms 21844 KB Output is correct
11 Correct 11 ms 21604 KB Output is correct
12 Correct 11 ms 21716 KB Output is correct
13 Correct 11 ms 21460 KB Output is correct
14 Correct 12 ms 21588 KB Output is correct
15 Correct 11 ms 21620 KB Output is correct
16 Correct 12 ms 21596 KB Output is correct
17 Correct 49 ms 26928 KB Output is correct
18 Correct 52 ms 27412 KB Output is correct
19 Correct 48 ms 27340 KB Output is correct
20 Correct 46 ms 26960 KB Output is correct
21 Correct 41 ms 26924 KB Output is correct
22 Correct 73 ms 32464 KB Output is correct
23 Correct 20 ms 22728 KB Output is correct
24 Correct 45 ms 25620 KB Output is correct
25 Correct 12 ms 21612 KB Output is correct
26 Correct 19 ms 22588 KB Output is correct
27 Correct 15 ms 23080 KB Output is correct
28 Correct 208 ms 48904 KB Output is correct
29 Correct 294 ms 61116 KB Output is correct
30 Correct 312 ms 65736 KB Output is correct
31 Correct 312 ms 65528 KB Output is correct
32 Correct 230 ms 56744 KB Output is correct
33 Correct 321 ms 65996 KB Output is correct
34 Correct 317 ms 65996 KB Output is correct
35 Correct 116 ms 39188 KB Output is correct
36 Correct 320 ms 65408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 83 ms 68780 KB Output is correct
2 Correct 88 ms 68820 KB Output is correct
3 Correct 136 ms 65228 KB Output is correct
4 Correct 126 ms 69704 KB Output is correct
5 Correct 185 ms 71188 KB Output is correct
6 Correct 182 ms 71756 KB Output is correct
7 Correct 204 ms 72428 KB Output is correct
8 Correct 189 ms 72460 KB Output is correct
9 Correct 193 ms 79528 KB Output is correct
10 Correct 137 ms 55892 KB Output is correct
11 Correct 298 ms 90896 KB Output is correct
12 Correct 11 ms 21376 KB Output is correct
13 Correct 11 ms 21452 KB Output is correct
14 Correct 11 ms 21460 KB Output is correct
15 Correct 11 ms 21460 KB Output is correct
16 Correct 11 ms 21332 KB Output is correct
17 Correct 10 ms 21372 KB Output is correct
18 Correct 82 ms 68684 KB Output is correct
19 Correct 82 ms 68792 KB Output is correct
20 Correct 82 ms 68684 KB Output is correct
21 Correct 82 ms 68904 KB Output is correct
22 Correct 253 ms 79780 KB Output is correct
23 Correct 367 ms 93644 KB Output is correct
24 Correct 347 ms 96804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 153 ms 70976 KB Output is correct
2 Correct 175 ms 77392 KB Output is correct
3 Correct 83 ms 68684 KB Output is correct
4 Correct 83 ms 68676 KB Output is correct
5 Correct 351 ms 107996 KB Output is correct
6 Correct 515 ms 107648 KB Output is correct
7 Correct 11 ms 21332 KB Output is correct
8 Correct 249 ms 81832 KB Output is correct
9 Correct 282 ms 90652 KB Output is correct
10 Correct 160 ms 71032 KB Output is correct
11 Correct 173 ms 77348 KB Output is correct
12 Correct 10 ms 21332 KB Output is correct
13 Correct 11 ms 21332 KB Output is correct
14 Correct 11 ms 21460 KB Output is correct
15 Correct 11 ms 21332 KB Output is correct
16 Correct 82 ms 68732 KB Output is correct
17 Correct 82 ms 68704 KB Output is correct
18 Correct 176 ms 74884 KB Output is correct
19 Correct 213 ms 81884 KB Output is correct
20 Correct 165 ms 72948 KB Output is correct
21 Correct 214 ms 78764 KB Output is correct
22 Correct 174 ms 72908 KB Output is correct
23 Correct 182 ms 78540 KB Output is correct
24 Correct 83 ms 68780 KB Output is correct
25 Correct 88 ms 68820 KB Output is correct
26 Correct 136 ms 65228 KB Output is correct
27 Correct 126 ms 69704 KB Output is correct
28 Correct 185 ms 71188 KB Output is correct
29 Correct 182 ms 71756 KB Output is correct
30 Correct 204 ms 72428 KB Output is correct
31 Correct 189 ms 72460 KB Output is correct
32 Correct 11 ms 21420 KB Output is correct
33 Correct 11 ms 21348 KB Output is correct
34 Correct 10 ms 21332 KB Output is correct
35 Correct 11 ms 21404 KB Output is correct
36 Correct 11 ms 21392 KB Output is correct
37 Correct 11 ms 21460 KB Output is correct
38 Correct 11 ms 21332 KB Output is correct
39 Correct 11 ms 21456 KB Output is correct
40 Correct 12 ms 21588 KB Output is correct
41 Correct 12 ms 21844 KB Output is correct
42 Correct 11 ms 21604 KB Output is correct
43 Correct 11 ms 21716 KB Output is correct
44 Correct 11 ms 21460 KB Output is correct
45 Correct 12 ms 21588 KB Output is correct
46 Correct 11 ms 21620 KB Output is correct
47 Correct 12 ms 21596 KB Output is correct
48 Correct 49 ms 26928 KB Output is correct
49 Correct 52 ms 27412 KB Output is correct
50 Correct 48 ms 27340 KB Output is correct
51 Correct 46 ms 26960 KB Output is correct
52 Correct 41 ms 26924 KB Output is correct
53 Correct 73 ms 32464 KB Output is correct
54 Correct 20 ms 22728 KB Output is correct
55 Correct 45 ms 25620 KB Output is correct
56 Correct 12 ms 21612 KB Output is correct
57 Correct 19 ms 22588 KB Output is correct
58 Correct 15 ms 23080 KB Output is correct
59 Correct 208 ms 48904 KB Output is correct
60 Correct 294 ms 61116 KB Output is correct
61 Correct 312 ms 65736 KB Output is correct
62 Correct 312 ms 65528 KB Output is correct
63 Correct 230 ms 56744 KB Output is correct
64 Correct 321 ms 65996 KB Output is correct
65 Correct 317 ms 65996 KB Output is correct
66 Correct 116 ms 39188 KB Output is correct
67 Correct 320 ms 65408 KB Output is correct
68 Correct 193 ms 79528 KB Output is correct
69 Correct 137 ms 55892 KB Output is correct
70 Correct 298 ms 90896 KB Output is correct
71 Correct 11 ms 21376 KB Output is correct
72 Correct 11 ms 21452 KB Output is correct
73 Correct 11 ms 21460 KB Output is correct
74 Correct 11 ms 21460 KB Output is correct
75 Correct 11 ms 21332 KB Output is correct
76 Correct 10 ms 21372 KB Output is correct
77 Correct 82 ms 68684 KB Output is correct
78 Correct 82 ms 68792 KB Output is correct
79 Correct 82 ms 68684 KB Output is correct
80 Correct 82 ms 68904 KB Output is correct
81 Correct 253 ms 79780 KB Output is correct
82 Correct 367 ms 93644 KB Output is correct
83 Correct 347 ms 96804 KB Output is correct
84 Correct 442 ms 107508 KB Output is correct
85 Correct 449 ms 110492 KB Output is correct
86 Correct 471 ms 103472 KB Output is correct
87 Correct 499 ms 106444 KB Output is correct
88 Correct 11 ms 21376 KB Output is correct
89 Correct 511 ms 107052 KB Output is correct
90 Correct 441 ms 104396 KB Output is correct
91 Correct 357 ms 100296 KB Output is correct