답안 #114012

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
114012 2019-05-29T14:36:47 Z shayan_p Construction of Highway (JOI18_construction) C++14
100 / 100
1240 ms 31092 KB
// High above the clouds there is a rainbow...

#include<bits/stdc++.h>

#define F first
#define S second
#define PB push_back
#define sz(s) int((s).size())
#define bit(n,k) (((n)>>(k))&1)

using namespace std;

typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

const int maxn=1e5+10,SQ=800;

int a[maxn],fn[maxn],par[maxn],state[maxn],arr[maxn],A[maxn],B[maxn],C;
vector<int>v[maxn];

pii p[SQ+10];

void add(int pos,int x){
    for(pos=pos+3;pos<maxn;pos+=(pos & -pos))
	fn[pos]+=x;
}
int ask(int pos){
    int ans=0;
    for(pos=pos+3;pos>0;pos-=(pos & -pos))
	ans+=fn[pos];
    return ans;
}

int sp[20][2*maxn],h[maxn],start[maxn];
vector<int>vec;

void dfs(int u){
    if(par[u]!=-1) h[u]=h[par[u]]+1;  
    start[u]=sz(vec), vec.PB(u);
    for(int i=1;i<20;i++){
	sp[i][u]=sp[i-1][u];
	if(sp[i][u]!=-1) sp[i][u]=sp[i-1][sp[i-1][u]];
    }
    for(int y:v[u]){
	dfs(y);
    }
    if(par[u]!=-1) vec.PB(par[u]);
}
void prep(){
    for(int i=0;i<sz(vec);i++){
	sp[0][i]=h[vec[i]];
    }
    for(int i=1;i<20;i++){
	for(int j=0;j<sz(vec);j++){
	    sp[i][j]=sp[i-1][j];
	    if(j+(1<<(i-1))<sz(vec)) sp[i][j]=min(sp[i][j],sp[i-1][j+(1<<(i-1))]);
	}
    }
}
int lca(int a,int b){
    a=start[a], b=start[b];
    if(a>b) swap(a,b);
    int id=31-__builtin_clz(b-a+1);
    return min(sp[id][a],sp[id][b+1-(1<<id)]);
}

int main(){
    ios_base::sync_with_stdio(false);cin.tie(0);
    int n;cin>>n;
    for(int i=0;i<n;i++){
	cin>>a[i];
	arr[i]=a[i];
    }
    sort(arr,arr+n);
    C=unique(arr,arr+n)-arr;
    for(int i=0;i<n;i++){
	a[i]=lower_bound(arr,arr+C,a[i])-arr;
    }

    par[0]=-1;
    for(int i=0;i<n-1;i++){
	cin>>A[i]>>B[i];
	par[--B[i]]=--A[i];
	v[A[i]].PB(B[i]);
    }
    
    dfs(0);
    prep();
    
    for(int l=0;l<n-1;l+=SQ){
	int r=min(n-1,l+SQ);
	++C;
	for(int i=l;i<r;i++){
	    ll ans=0;
	    int x=A[i],lst=x;
	    state[B[i]]=C;
	    while(x>=0 && state[x]!=C){
		state[x]=C;
		ans+=ask(a[x]-1);
		add(a[x],1);
		lst=x=par[x];
	    }
	    int bh=-1,SZ=0;
	    for(int j=i-1;j>=l;j--){
		int hh=lca(A[i],B[j]);
		if(bh<hh) p[SZ++]={hh-bh,a[B[j]]}, bh=hh;
	    }
	    for(int j=SZ-1;j>=0;j--){
		ans+= 1ll*p[j].F * ask(p[j].S-1);
		add(p[j].S,p[j].F);
	    }
	    x=A[i];
	    while(x!=lst){
		add(a[x],-1);
		x=par[x];
	    }
	    for(int j=0;j<SZ;j++){
		add(p[j].S,-p[j].F);
	    }
	    cout<<ans<<"\n";
	}
	++C;
	for(int i=r-1;i>=l;i--){
	    int x=B[i];
	    while(x>=0 && state[x]!=C){
		state[x]=C;
		a[x]=a[B[i]];
		x=par[x];
	    }
	}
    }
    return 0;
}
// Deathly mistakes:
//  * Read the problem curfully.
//  * Check maxn.
//  * Overflows.
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 2944 KB Output is correct
2 Correct 7 ms 2816 KB Output is correct
3 Correct 4 ms 2816 KB Output is correct
4 Correct 5 ms 2944 KB Output is correct
5 Correct 6 ms 2944 KB Output is correct
6 Correct 5 ms 2944 KB Output is correct
7 Correct 5 ms 2944 KB Output is correct
8 Correct 5 ms 3072 KB Output is correct
9 Correct 5 ms 3072 KB Output is correct
10 Correct 5 ms 2944 KB Output is correct
11 Correct 5 ms 2944 KB Output is correct
12 Correct 5 ms 3072 KB Output is correct
13 Correct 6 ms 3072 KB Output is correct
14 Correct 5 ms 2944 KB Output is correct
15 Correct 5 ms 2944 KB Output is correct
16 Correct 5 ms 2944 KB Output is correct
17 Correct 5 ms 2944 KB Output is correct
18 Correct 5 ms 2944 KB Output is correct
19 Correct 5 ms 2944 KB Output is correct
20 Correct 5 ms 2944 KB Output is correct
21 Correct 5 ms 2944 KB Output is correct
22 Correct 5 ms 2944 KB Output is correct
23 Correct 5 ms 2944 KB Output is correct
24 Correct 5 ms 2944 KB Output is correct
25 Correct 6 ms 2944 KB Output is correct
26 Correct 6 ms 3072 KB Output is correct
27 Correct 6 ms 2944 KB Output is correct
28 Correct 5 ms 2944 KB Output is correct
29 Correct 5 ms 2944 KB Output is correct
30 Correct 5 ms 2944 KB Output is correct
31 Correct 0 ms 2944 KB Output is correct
32 Correct 5 ms 2944 KB Output is correct
33 Correct 6 ms 2944 KB Output is correct
34 Correct 5 ms 2944 KB Output is correct
35 Correct 5 ms 2944 KB Output is correct
36 Correct 5 ms 2944 KB Output is correct
37 Correct 5 ms 2944 KB Output is correct
38 Correct 5 ms 2944 KB Output is correct
39 Correct 5 ms 2944 KB Output is correct
40 Correct 5 ms 3004 KB Output is correct
41 Correct 4 ms 2944 KB Output is correct
42 Correct 5 ms 2944 KB Output is correct
43 Correct 5 ms 2944 KB Output is correct
44 Correct 5 ms 2944 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 2944 KB Output is correct
2 Correct 7 ms 2816 KB Output is correct
3 Correct 4 ms 2816 KB Output is correct
4 Correct 5 ms 2944 KB Output is correct
5 Correct 6 ms 2944 KB Output is correct
6 Correct 5 ms 2944 KB Output is correct
7 Correct 5 ms 2944 KB Output is correct
8 Correct 5 ms 3072 KB Output is correct
9 Correct 5 ms 3072 KB Output is correct
10 Correct 5 ms 2944 KB Output is correct
11 Correct 5 ms 2944 KB Output is correct
12 Correct 5 ms 3072 KB Output is correct
13 Correct 6 ms 3072 KB Output is correct
14 Correct 5 ms 2944 KB Output is correct
15 Correct 5 ms 2944 KB Output is correct
16 Correct 5 ms 2944 KB Output is correct
17 Correct 5 ms 2944 KB Output is correct
18 Correct 5 ms 2944 KB Output is correct
19 Correct 5 ms 2944 KB Output is correct
20 Correct 5 ms 2944 KB Output is correct
21 Correct 5 ms 2944 KB Output is correct
22 Correct 5 ms 2944 KB Output is correct
23 Correct 5 ms 2944 KB Output is correct
24 Correct 5 ms 2944 KB Output is correct
25 Correct 6 ms 2944 KB Output is correct
26 Correct 6 ms 3072 KB Output is correct
27 Correct 6 ms 2944 KB Output is correct
28 Correct 5 ms 2944 KB Output is correct
29 Correct 5 ms 2944 KB Output is correct
30 Correct 5 ms 2944 KB Output is correct
31 Correct 0 ms 2944 KB Output is correct
32 Correct 5 ms 2944 KB Output is correct
33 Correct 6 ms 2944 KB Output is correct
34 Correct 5 ms 2944 KB Output is correct
35 Correct 5 ms 2944 KB Output is correct
36 Correct 5 ms 2944 KB Output is correct
37 Correct 5 ms 2944 KB Output is correct
38 Correct 5 ms 2944 KB Output is correct
39 Correct 5 ms 2944 KB Output is correct
40 Correct 5 ms 3004 KB Output is correct
41 Correct 4 ms 2944 KB Output is correct
42 Correct 5 ms 2944 KB Output is correct
43 Correct 5 ms 2944 KB Output is correct
44 Correct 5 ms 2944 KB Output is correct
45 Correct 7 ms 3072 KB Output is correct
46 Correct 19 ms 3780 KB Output is correct
47 Correct 20 ms 3712 KB Output is correct
48 Correct 19 ms 3712 KB Output is correct
49 Correct 14 ms 3984 KB Output is correct
50 Correct 14 ms 3968 KB Output is correct
51 Correct 14 ms 3968 KB Output is correct
52 Correct 14 ms 3840 KB Output is correct
53 Correct 14 ms 3840 KB Output is correct
54 Correct 15 ms 3860 KB Output is correct
55 Correct 14 ms 3840 KB Output is correct
56 Correct 15 ms 3840 KB Output is correct
57 Correct 19 ms 3712 KB Output is correct
58 Correct 18 ms 3712 KB Output is correct
59 Correct 20 ms 3712 KB Output is correct
60 Correct 19 ms 3712 KB Output is correct
61 Correct 14 ms 3840 KB Output is correct
62 Correct 16 ms 3840 KB Output is correct
63 Correct 14 ms 3840 KB Output is correct
64 Correct 19 ms 3712 KB Output is correct
65 Correct 20 ms 3712 KB Output is correct
66 Correct 20 ms 3712 KB Output is correct
67 Correct 19 ms 3712 KB Output is correct
68 Correct 13 ms 3968 KB Output is correct
69 Correct 14 ms 3840 KB Output is correct
70 Correct 14 ms 3840 KB Output is correct
71 Correct 14 ms 3840 KB Output is correct
72 Correct 19 ms 3712 KB Output is correct
73 Correct 20 ms 3712 KB Output is correct
74 Correct 15 ms 3840 KB Output is correct
75 Correct 14 ms 3840 KB Output is correct
76 Correct 14 ms 3712 KB Output is correct
77 Correct 14 ms 3712 KB Output is correct
78 Correct 14 ms 3840 KB Output is correct
79 Correct 15 ms 3844 KB Output is correct
80 Correct 14 ms 3712 KB Output is correct
81 Correct 14 ms 3840 KB Output is correct
82 Correct 15 ms 3712 KB Output is correct
83 Correct 15 ms 3840 KB Output is correct
84 Correct 15 ms 3840 KB Output is correct
85 Correct 14 ms 3712 KB Output is correct
86 Correct 16 ms 3712 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 2944 KB Output is correct
2 Correct 7 ms 2816 KB Output is correct
3 Correct 4 ms 2816 KB Output is correct
4 Correct 5 ms 2944 KB Output is correct
5 Correct 6 ms 2944 KB Output is correct
6 Correct 5 ms 2944 KB Output is correct
7 Correct 5 ms 2944 KB Output is correct
8 Correct 5 ms 3072 KB Output is correct
9 Correct 5 ms 3072 KB Output is correct
10 Correct 5 ms 2944 KB Output is correct
11 Correct 5 ms 2944 KB Output is correct
12 Correct 5 ms 3072 KB Output is correct
13 Correct 6 ms 3072 KB Output is correct
14 Correct 5 ms 2944 KB Output is correct
15 Correct 5 ms 2944 KB Output is correct
16 Correct 5 ms 2944 KB Output is correct
17 Correct 5 ms 2944 KB Output is correct
18 Correct 5 ms 2944 KB Output is correct
19 Correct 5 ms 2944 KB Output is correct
20 Correct 5 ms 2944 KB Output is correct
21 Correct 5 ms 2944 KB Output is correct
22 Correct 5 ms 2944 KB Output is correct
23 Correct 5 ms 2944 KB Output is correct
24 Correct 5 ms 2944 KB Output is correct
25 Correct 6 ms 2944 KB Output is correct
26 Correct 6 ms 3072 KB Output is correct
27 Correct 6 ms 2944 KB Output is correct
28 Correct 5 ms 2944 KB Output is correct
29 Correct 5 ms 2944 KB Output is correct
30 Correct 5 ms 2944 KB Output is correct
31 Correct 0 ms 2944 KB Output is correct
32 Correct 5 ms 2944 KB Output is correct
33 Correct 6 ms 2944 KB Output is correct
34 Correct 5 ms 2944 KB Output is correct
35 Correct 5 ms 2944 KB Output is correct
36 Correct 5 ms 2944 KB Output is correct
37 Correct 5 ms 2944 KB Output is correct
38 Correct 5 ms 2944 KB Output is correct
39 Correct 5 ms 2944 KB Output is correct
40 Correct 5 ms 3004 KB Output is correct
41 Correct 4 ms 2944 KB Output is correct
42 Correct 5 ms 2944 KB Output is correct
43 Correct 5 ms 2944 KB Output is correct
44 Correct 5 ms 2944 KB Output is correct
45 Correct 7 ms 3072 KB Output is correct
46 Correct 19 ms 3780 KB Output is correct
47 Correct 20 ms 3712 KB Output is correct
48 Correct 19 ms 3712 KB Output is correct
49 Correct 14 ms 3984 KB Output is correct
50 Correct 14 ms 3968 KB Output is correct
51 Correct 14 ms 3968 KB Output is correct
52 Correct 14 ms 3840 KB Output is correct
53 Correct 14 ms 3840 KB Output is correct
54 Correct 15 ms 3860 KB Output is correct
55 Correct 14 ms 3840 KB Output is correct
56 Correct 15 ms 3840 KB Output is correct
57 Correct 19 ms 3712 KB Output is correct
58 Correct 18 ms 3712 KB Output is correct
59 Correct 20 ms 3712 KB Output is correct
60 Correct 19 ms 3712 KB Output is correct
61 Correct 14 ms 3840 KB Output is correct
62 Correct 16 ms 3840 KB Output is correct
63 Correct 14 ms 3840 KB Output is correct
64 Correct 19 ms 3712 KB Output is correct
65 Correct 20 ms 3712 KB Output is correct
66 Correct 20 ms 3712 KB Output is correct
67 Correct 19 ms 3712 KB Output is correct
68 Correct 13 ms 3968 KB Output is correct
69 Correct 14 ms 3840 KB Output is correct
70 Correct 14 ms 3840 KB Output is correct
71 Correct 14 ms 3840 KB Output is correct
72 Correct 19 ms 3712 KB Output is correct
73 Correct 20 ms 3712 KB Output is correct
74 Correct 15 ms 3840 KB Output is correct
75 Correct 14 ms 3840 KB Output is correct
76 Correct 14 ms 3712 KB Output is correct
77 Correct 14 ms 3712 KB Output is correct
78 Correct 14 ms 3840 KB Output is correct
79 Correct 15 ms 3844 KB Output is correct
80 Correct 14 ms 3712 KB Output is correct
81 Correct 14 ms 3840 KB Output is correct
82 Correct 15 ms 3712 KB Output is correct
83 Correct 15 ms 3840 KB Output is correct
84 Correct 15 ms 3840 KB Output is correct
85 Correct 14 ms 3712 KB Output is correct
86 Correct 16 ms 3712 KB Output is correct
87 Correct 55 ms 5236 KB Output is correct
88 Correct 195 ms 9596 KB Output is correct
89 Correct 795 ms 24896 KB Output is correct
90 Correct 936 ms 24924 KB Output is correct
91 Correct 753 ms 25040 KB Output is correct
92 Correct 1056 ms 30952 KB Output is correct
93 Correct 1240 ms 30956 KB Output is correct
94 Correct 1072 ms 31092 KB Output is correct
95 Correct 699 ms 27108 KB Output is correct
96 Correct 737 ms 27000 KB Output is correct
97 Correct 729 ms 26992 KB Output is correct
98 Correct 742 ms 27024 KB Output is correct
99 Correct 708 ms 27120 KB Output is correct
100 Correct 798 ms 25452 KB Output is correct
101 Correct 769 ms 25136 KB Output is correct
102 Correct 840 ms 25196 KB Output is correct
103 Correct 796 ms 25336 KB Output is correct
104 Correct 924 ms 27136 KB Output is correct
105 Correct 903 ms 27124 KB Output is correct
106 Correct 917 ms 27248 KB Output is correct
107 Correct 698 ms 24428 KB Output is correct
108 Correct 691 ms 24560 KB Output is correct
109 Correct 702 ms 24672 KB Output is correct
110 Correct 1106 ms 30708 KB Output is correct
111 Correct 717 ms 27120 KB Output is correct
112 Correct 751 ms 26612 KB Output is correct
113 Correct 775 ms 26992 KB Output is correct
114 Correct 800 ms 25452 KB Output is correct
115 Correct 868 ms 24936 KB Output is correct
116 Correct 1035 ms 26900 KB Output is correct
117 Correct 535 ms 25836 KB Output is correct
118 Correct 460 ms 25480 KB Output is correct
119 Correct 443 ms 25204 KB Output is correct
120 Correct 549 ms 25548 KB Output is correct
121 Correct 478 ms 25292 KB Output is correct
122 Correct 436 ms 25072 KB Output is correct
123 Correct 876 ms 25928 KB Output is correct
124 Correct 837 ms 25576 KB Output is correct
125 Correct 889 ms 25412 KB Output is correct
126 Correct 978 ms 25732 KB Output is correct
127 Correct 915 ms 25524 KB Output is correct
128 Correct 885 ms 25072 KB Output is correct