답안 #113758

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
113758 2019-05-28T07:23:44 Z Diuven Bulldozer (JOI17_bulldozer) C++14
100 / 100
1418 ms 48112 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long lint;
typedef pair<int, int> pii;

const int MAX = 2019;

int n, X[MAX], Y[MAX], V[MAX];

inline lint _max(lint a, lint b){ return a<b ? b : a; }
inline int _abs(int a){ return a<0 ? -a : a; }

int gcd(int a, int b){
	if(b==0) return a;
	return gcd(b,a%b);
}

class Seg_t{
	struct node {
		lint ls, rs, ms, su;
		node operator + (const node &op) const {
			node res = {0,0,0,0};
			// ls, rs should not be empty.
			// ms may be empty
			res.ls = _max(ls, su+op.ls);
			res.rs = _max(op.rs, op.su+rs);
			res.ms = _max(rs+op.ls, _max(ms, op.ms));
			res.su = su + op.su;
			return res;
		}
	} T[1<<12];
	void upt(int v, int s, int e, int p, int x){
		if(s==e){ T[v]={x,x,_max(0,x),x}; return; }
        int mid = (s+e)/2;
        if(p<=mid) upt(v*2,s,(s+e)/2,p,x);
        else upt(v*2+1,(s+e)/2+1,e,p,x);
		T[v] = T[v*2]+T[v*2+1];
	}
  public:
    void upt(int p, int x){ upt(1,1,n,p,x); }
	lint get(){ return T[1].ms; }
} Seg;

/*
기울기: (dx, dy). dx는 항상 0 이상.
*/

int nu[MAX], re[MAX];
void ch(int a, int b){
	// a랑 b를 바꿔라.
    // cout<<"Swap: "<<V[a]<<' '<<V[b]<<'\n';
	int i=re[a], j=re[b];
	Seg.upt(i, V[b]), Seg.upt(j, V[a]);
	swap(nu[i], nu[j]); swap(re[a], re[b]);
}
vector<vector<pii>> W;

pii D[MAX][MAX];

void debug(){
    cout<<"\nDebug!!\n";
    for(int j=1; j<=n; j++){
        int i=nu[j];
        cout<<X[i]<<' '<<Y[i]<<' '<<V[i]<<'\n';
    }
    cout<<'\n';
}

int cmp(pii a, pii b){
    int u,v, s,t; tie(u,v)=a, tie(s,t)=b;
    pii l1=D[a.first][a.second], l2=D[b.first][b.second];
    lint w = 1LL*l1.second*l2.first - 1LL*l1.first*l2.second;
    return w==0 ? 0 : (w<0 ? -1 : 1);
}

int main(){
	ios::sync_with_stdio(0); cin.tie(0);

	cin>>n;
	for(int i=1; i<=n; i++) cin>>X[i]>>Y[i]>>V[i];
    int rnk[MAX], tmp[MAX];
    iota(tmp+1, tmp+n+1, 1);
    sort(tmp+1, tmp+n+1, [](int a, int b){ return pii(-X[a],Y[a]) < pii(-X[b],Y[b]); });
    for(int i=1; i<=n; i++) rnk[tmp[i]]=i;

	iota(nu+1, nu+n+1, 1);
	sort(nu+1, nu+n+1, [&](int a, int b){
        return rnk[a]>rnk[b];
	});
	for(int i=1; i<=n; i++){
		Seg.upt(i, V[nu[i]]);
		re[nu[i]]=i;
	}

	// 기울기 (a,b)에 대해서 점의 정렬 기준: (-bx+ay, -x, y)의 오름차순
	// 의미: 기울기 (a,b)인 선을 그렸을 때, y절편이 작은거부터. 동일하다면 미소량 큰 기울기에서 y절편 작은거부터. y는 y축평행정렬을 고려한 것.

    vector<pii> P;

    for(int i=1; i<=n; i++) for(int j=i+1; j<=n; j++){
        P.emplace_back(i,j);
        int dx=X[i]-X[j], dy=Y[i]-Y[j];
        if(dx<0 || (dx==0 && dy>0)) dx=-dx, dy=-dy;
        D[i][j] = D[j][i] = {dx,dy};
    }

    sort(P.begin(), P.end(), [&](pii a, pii b){
        int z = cmp(a,b);
        if(z!=0) return z<0;
        
        int u,v, t,s; tie(u,v)=a, tie(t,s)=b;
        lint dx,dy; tie(dx,dy) = D[u][v];

        lint ub = -dy*X[u] + dx*Y[u];
        lint tb = -dy*X[t] + dx*Y[t];
        if(ub!=tb) return ub<tb;

        pii p={rnk[u],rnk[v]}, q={rnk[t],rnk[s]};
        if(p.first>p.second) swap(p.first, p.second);
        if(q.first>q.second) swap(q.first, q.second);
        return p<q;
    });

	lint ans = Seg.get();

    // cout<<"now: "<<Seg.get()<<'\n';
    // debug();

    for(int i=0; i<int(P.size());){
        pii st = P[i];
        while(i<int(P.size()) && cmp(st, P[i])==0){
            ch(P[i].first, P[i].second); i++;
        }
        ans = _max(ans, Seg.get());
    }

	cout<<ans<<'\n';

	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 896 KB Output is correct
2 Correct 4 ms 896 KB Output is correct
3 Correct 4 ms 896 KB Output is correct
4 Correct 4 ms 1024 KB Output is correct
5 Correct 3 ms 944 KB Output is correct
6 Correct 4 ms 896 KB Output is correct
7 Correct 3 ms 896 KB Output is correct
8 Correct 4 ms 1024 KB Output is correct
9 Correct 3 ms 896 KB Output is correct
10 Correct 4 ms 896 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 896 KB Output is correct
2 Correct 3 ms 1024 KB Output is correct
3 Correct 4 ms 896 KB Output is correct
4 Correct 3 ms 896 KB Output is correct
5 Correct 4 ms 1024 KB Output is correct
6 Correct 4 ms 896 KB Output is correct
7 Correct 4 ms 896 KB Output is correct
8 Correct 4 ms 1024 KB Output is correct
9 Correct 3 ms 896 KB Output is correct
10 Correct 4 ms 996 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
21 Correct 3 ms 896 KB Output is correct
22 Correct 3 ms 896 KB Output is correct
23 Correct 4 ms 896 KB Output is correct
24 Correct 3 ms 896 KB Output is correct
25 Correct 4 ms 896 KB Output is correct
26 Correct 4 ms 896 KB Output is correct
27 Correct 6 ms 896 KB Output is correct
28 Correct 3 ms 896 KB Output is correct
29 Correct 3 ms 1024 KB Output is correct
30 Correct 4 ms 1024 KB Output is correct
31 Correct 3 ms 896 KB Output is correct
32 Correct 3 ms 896 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 896 KB Output is correct
2 Correct 3 ms 1024 KB Output is correct
3 Correct 4 ms 896 KB Output is correct
4 Correct 3 ms 896 KB Output is correct
5 Correct 4 ms 1024 KB Output is correct
6 Correct 4 ms 896 KB Output is correct
7 Correct 4 ms 896 KB Output is correct
8 Correct 4 ms 1024 KB Output is correct
9 Correct 3 ms 896 KB Output is correct
10 Correct 4 ms 996 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
21 Correct 3 ms 896 KB Output is correct
22 Correct 3 ms 896 KB Output is correct
23 Correct 4 ms 896 KB Output is correct
24 Correct 3 ms 896 KB Output is correct
25 Correct 4 ms 896 KB Output is correct
26 Correct 4 ms 896 KB Output is correct
27 Correct 6 ms 896 KB Output is correct
28 Correct 3 ms 896 KB Output is correct
29 Correct 3 ms 1024 KB Output is correct
30 Correct 4 ms 1024 KB Output is correct
31 Correct 3 ms 896 KB Output is correct
32 Correct 3 ms 896 KB Output is correct
33 Correct 1365 ms 48024 KB Output is correct
34 Correct 1418 ms 47964 KB Output is correct
35 Correct 1378 ms 47972 KB Output is correct
36 Correct 1381 ms 47976 KB Output is correct
37 Correct 1359 ms 47928 KB Output is correct
38 Correct 1388 ms 47844 KB Output is correct
39 Correct 1349 ms 47964 KB Output is correct
40 Correct 1348 ms 47968 KB Output is correct
41 Correct 1327 ms 48068 KB Output is correct
42 Correct 1313 ms 47924 KB Output is correct
43 Correct 1228 ms 47868 KB Output is correct
44 Correct 1239 ms 47956 KB Output is correct
45 Correct 1210 ms 47936 KB Output is correct
46 Correct 1235 ms 48036 KB Output is correct
47 Correct 1197 ms 47936 KB Output is correct
48 Correct 1174 ms 47908 KB Output is correct
49 Correct 1197 ms 47956 KB Output is correct
50 Correct 1206 ms 47964 KB Output is correct
51 Correct 1201 ms 47940 KB Output is correct
52 Correct 1238 ms 47928 KB Output is correct
53 Correct 1228 ms 48112 KB Output is correct
54 Correct 1234 ms 47936 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 896 KB Output is correct
2 Correct 3 ms 1024 KB Output is correct
3 Correct 4 ms 896 KB Output is correct
4 Correct 3 ms 896 KB Output is correct
5 Correct 4 ms 1024 KB Output is correct
6 Correct 4 ms 896 KB Output is correct
7 Correct 4 ms 896 KB Output is correct
8 Correct 4 ms 1024 KB Output is correct
9 Correct 3 ms 896 KB Output is correct
10 Correct 4 ms 996 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
21 Correct 3 ms 896 KB Output is correct
22 Correct 3 ms 896 KB Output is correct
23 Correct 4 ms 896 KB Output is correct
24 Correct 3 ms 896 KB Output is correct
25 Correct 4 ms 896 KB Output is correct
26 Correct 4 ms 896 KB Output is correct
27 Correct 6 ms 896 KB Output is correct
28 Correct 3 ms 896 KB Output is correct
29 Correct 3 ms 1024 KB Output is correct
30 Correct 4 ms 1024 KB Output is correct
31 Correct 3 ms 896 KB Output is correct
32 Correct 3 ms 896 KB Output is correct
33 Correct 1365 ms 48024 KB Output is correct
34 Correct 1418 ms 47964 KB Output is correct
35 Correct 1378 ms 47972 KB Output is correct
36 Correct 1381 ms 47976 KB Output is correct
37 Correct 1359 ms 47928 KB Output is correct
38 Correct 1388 ms 47844 KB Output is correct
39 Correct 1349 ms 47964 KB Output is correct
40 Correct 1348 ms 47968 KB Output is correct
41 Correct 1327 ms 48068 KB Output is correct
42 Correct 1313 ms 47924 KB Output is correct
43 Correct 1228 ms 47868 KB Output is correct
44 Correct 1239 ms 47956 KB Output is correct
45 Correct 1210 ms 47936 KB Output is correct
46 Correct 1235 ms 48036 KB Output is correct
47 Correct 1197 ms 47936 KB Output is correct
48 Correct 1174 ms 47908 KB Output is correct
49 Correct 1197 ms 47956 KB Output is correct
50 Correct 1206 ms 47964 KB Output is correct
51 Correct 1201 ms 47940 KB Output is correct
52 Correct 1238 ms 47928 KB Output is correct
53 Correct 1228 ms 48112 KB Output is correct
54 Correct 1234 ms 47936 KB Output is correct
55 Correct 1344 ms 47936 KB Output is correct
56 Correct 1418 ms 47860 KB Output is correct
57 Correct 1315 ms 47892 KB Output is correct
58 Correct 1355 ms 47952 KB Output is correct
59 Correct 1317 ms 47936 KB Output is correct
60 Correct 1339 ms 47872 KB Output is correct
61 Correct 1371 ms 47952 KB Output is correct
62 Correct 1383 ms 47940 KB Output is correct
63 Correct 1369 ms 47936 KB Output is correct
64 Correct 1378 ms 47936 KB Output is correct
65 Correct 1257 ms 47968 KB Output is correct
66 Correct 1344 ms 47928 KB Output is correct
67 Correct 1295 ms 47936 KB Output is correct
68 Correct 1258 ms 47936 KB Output is correct
69 Correct 1337 ms 47860 KB Output is correct
70 Correct 1305 ms 47956 KB Output is correct
71 Correct 1337 ms 47904 KB Output is correct
72 Correct 1312 ms 47936 KB Output is correct
73 Correct 1326 ms 47864 KB Output is correct
74 Correct 1329 ms 47908 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 896 KB Output is correct
2 Correct 4 ms 896 KB Output is correct
3 Correct 4 ms 896 KB Output is correct
4 Correct 4 ms 1024 KB Output is correct
5 Correct 3 ms 944 KB Output is correct
6 Correct 4 ms 896 KB Output is correct
7 Correct 3 ms 896 KB Output is correct
8 Correct 4 ms 1024 KB Output is correct
9 Correct 3 ms 896 KB Output is correct
10 Correct 4 ms 896 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 3 ms 896 KB Output is correct
17 Correct 3 ms 1024 KB Output is correct
18 Correct 4 ms 896 KB Output is correct
19 Correct 3 ms 896 KB Output is correct
20 Correct 4 ms 1024 KB Output is correct
21 Correct 4 ms 896 KB Output is correct
22 Correct 4 ms 896 KB Output is correct
23 Correct 4 ms 1024 KB Output is correct
24 Correct 3 ms 896 KB Output is correct
25 Correct 4 ms 996 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 2 ms 384 KB Output is correct
30 Correct 2 ms 384 KB Output is correct
31 Correct 2 ms 384 KB Output is correct
32 Correct 2 ms 384 KB Output is correct
33 Correct 2 ms 384 KB Output is correct
34 Correct 2 ms 384 KB Output is correct
35 Correct 2 ms 384 KB Output is correct
36 Correct 3 ms 896 KB Output is correct
37 Correct 3 ms 896 KB Output is correct
38 Correct 4 ms 896 KB Output is correct
39 Correct 3 ms 896 KB Output is correct
40 Correct 4 ms 896 KB Output is correct
41 Correct 4 ms 896 KB Output is correct
42 Correct 6 ms 896 KB Output is correct
43 Correct 3 ms 896 KB Output is correct
44 Correct 3 ms 1024 KB Output is correct
45 Correct 4 ms 1024 KB Output is correct
46 Correct 3 ms 896 KB Output is correct
47 Correct 3 ms 896 KB Output is correct
48 Correct 1365 ms 48024 KB Output is correct
49 Correct 1418 ms 47964 KB Output is correct
50 Correct 1378 ms 47972 KB Output is correct
51 Correct 1381 ms 47976 KB Output is correct
52 Correct 1359 ms 47928 KB Output is correct
53 Correct 1388 ms 47844 KB Output is correct
54 Correct 1349 ms 47964 KB Output is correct
55 Correct 1348 ms 47968 KB Output is correct
56 Correct 1327 ms 48068 KB Output is correct
57 Correct 1313 ms 47924 KB Output is correct
58 Correct 1228 ms 47868 KB Output is correct
59 Correct 1239 ms 47956 KB Output is correct
60 Correct 1210 ms 47936 KB Output is correct
61 Correct 1235 ms 48036 KB Output is correct
62 Correct 1197 ms 47936 KB Output is correct
63 Correct 1174 ms 47908 KB Output is correct
64 Correct 1197 ms 47956 KB Output is correct
65 Correct 1206 ms 47964 KB Output is correct
66 Correct 1201 ms 47940 KB Output is correct
67 Correct 1238 ms 47928 KB Output is correct
68 Correct 1228 ms 48112 KB Output is correct
69 Correct 1234 ms 47936 KB Output is correct
70 Correct 1344 ms 47936 KB Output is correct
71 Correct 1418 ms 47860 KB Output is correct
72 Correct 1315 ms 47892 KB Output is correct
73 Correct 1355 ms 47952 KB Output is correct
74 Correct 1317 ms 47936 KB Output is correct
75 Correct 1339 ms 47872 KB Output is correct
76 Correct 1371 ms 47952 KB Output is correct
77 Correct 1383 ms 47940 KB Output is correct
78 Correct 1369 ms 47936 KB Output is correct
79 Correct 1378 ms 47936 KB Output is correct
80 Correct 1257 ms 47968 KB Output is correct
81 Correct 1344 ms 47928 KB Output is correct
82 Correct 1295 ms 47936 KB Output is correct
83 Correct 1258 ms 47936 KB Output is correct
84 Correct 1337 ms 47860 KB Output is correct
85 Correct 1305 ms 47956 KB Output is correct
86 Correct 1337 ms 47904 KB Output is correct
87 Correct 1312 ms 47936 KB Output is correct
88 Correct 1326 ms 47864 KB Output is correct
89 Correct 1329 ms 47908 KB Output is correct
90 Correct 1416 ms 47968 KB Output is correct
91 Correct 1334 ms 47936 KB Output is correct
92 Correct 1302 ms 48064 KB Output is correct
93 Correct 1330 ms 47936 KB Output is correct
94 Correct 1315 ms 47936 KB Output is correct
95 Correct 1300 ms 47980 KB Output is correct
96 Correct 1325 ms 47876 KB Output is correct
97 Correct 1316 ms 47924 KB Output is correct
98 Correct 1324 ms 47932 KB Output is correct
99 Correct 1307 ms 47844 KB Output is correct
100 Correct 1334 ms 47940 KB Output is correct
101 Correct 1318 ms 48060 KB Output is correct
102 Correct 1329 ms 47936 KB Output is correct
103 Correct 1264 ms 47936 KB Output is correct
104 Correct 1271 ms 47936 KB Output is correct
105 Correct 1267 ms 47936 KB Output is correct
106 Correct 1300 ms 47936 KB Output is correct
107 Correct 1331 ms 47936 KB Output is correct
108 Correct 1327 ms 47936 KB Output is correct
109 Correct 1313 ms 47956 KB Output is correct
110 Correct 1070 ms 47896 KB Output is correct
111 Correct 1067 ms 47936 KB Output is correct
112 Correct 1014 ms 47936 KB Output is correct
113 Correct 983 ms 47940 KB Output is correct
114 Correct 965 ms 47968 KB Output is correct
115 Correct 1014 ms 47936 KB Output is correct
116 Correct 1068 ms 48064 KB Output is correct
117 Correct 1046 ms 47972 KB Output is correct
118 Correct 1049 ms 47936 KB Output is correct
119 Correct 975 ms 47848 KB Output is correct
120 Correct 2 ms 384 KB Output is correct
121 Correct 2 ms 384 KB Output is correct
122 Correct 1188 ms 47936 KB Output is correct
123 Correct 1212 ms 47932 KB Output is correct
124 Correct 1169 ms 47964 KB Output is correct
125 Correct 1168 ms 47936 KB Output is correct
126 Correct 1199 ms 48068 KB Output is correct
127 Correct 1304 ms 48064 KB Output is correct
128 Correct 1250 ms 47948 KB Output is correct
129 Correct 1288 ms 47936 KB Output is correct
130 Correct 1277 ms 47940 KB Output is correct
131 Correct 1145 ms 47940 KB Output is correct
132 Correct 1145 ms 47940 KB Output is correct
133 Correct 1158 ms 47992 KB Output is correct