oj.uz

Submission #114013

# Submission time Handle Problem Language Result Execution time Memory
114013 2019-05-29T14:37:51 Z shayan_p Construction of Highway (JOI18_construction) C++14
100 / 100
 1092 ms 31056 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=1000;

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.

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2816 KB Output is correct
2 Correct 4 ms 2816 KB Output is correct
3 Correct 4 ms 2816 KB Output is correct
4 Correct 5 ms 3012 KB Output is correct
5 Correct 6 ms 3072 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 2944 KB Output is correct
9 Correct 4 ms 2944 KB Output is correct
10 Correct 5 ms 2944 KB Output is correct
11 Correct 5 ms 2944 KB Output is correct
12 Correct 4 ms 2944 KB Output is correct
13 Correct 5 ms 2944 KB Output is correct
14 Correct 4 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 3072 KB Output is correct
18 Correct 6 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 3072 KB Output is correct
22 Correct 5 ms 3072 KB Output is correct
23 Correct 5 ms 2944 KB Output is correct
24 Correct 5 ms 2944 KB Output is correct
25 Correct 5 ms 2944 KB Output is correct
26 Correct 5 ms 2944 KB Output is correct
27 Correct 5 ms 3072 KB Output is correct
28 Correct 4 ms 2944 KB Output is correct
29 Correct 5 ms 2944 KB Output is correct
30 Correct 5 ms 3072 KB Output is correct
31 Correct 5 ms 2944 KB Output is correct
32 Correct 5 ms 2944 KB Output is correct
33 Correct 5 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 2992 KB Output is correct
41 Correct 5 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

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2816 KB Output is correct
2 Correct 4 ms 2816 KB Output is correct
3 Correct 4 ms 2816 KB Output is correct
4 Correct 5 ms 3012 KB Output is correct
5 Correct 6 ms 3072 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 2944 KB Output is correct
9 Correct 4 ms 2944 KB Output is correct
10 Correct 5 ms 2944 KB Output is correct
11 Correct 5 ms 2944 KB Output is correct
12 Correct 4 ms 2944 KB Output is correct
13 Correct 5 ms 2944 KB Output is correct
14 Correct 4 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 3072 KB Output is correct
18 Correct 6 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 3072 KB Output is correct
22 Correct 5 ms 3072 KB Output is correct
23 Correct 5 ms 2944 KB Output is correct
24 Correct 5 ms 2944 KB Output is correct
25 Correct 5 ms 2944 KB Output is correct
26 Correct 5 ms 2944 KB Output is correct
27 Correct 5 ms 3072 KB Output is correct
28 Correct 4 ms 2944 KB Output is correct
29 Correct 5 ms 2944 KB Output is correct
30 Correct 5 ms 3072 KB Output is correct
31 Correct 5 ms 2944 KB Output is correct
32 Correct 5 ms 2944 KB Output is correct
33 Correct 5 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 2992 KB Output is correct
41 Correct 5 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 8 ms 3072 KB Output is correct
46 Correct 21 ms 3840 KB Output is correct
47 Correct 23 ms 3712 KB Output is correct
48 Correct 22 ms 3712 KB Output is correct
49 Correct 16 ms 3968 KB Output is correct
50 Correct 16 ms 3968 KB Output is correct
51 Correct 17 ms 4096 KB Output is correct
52 Correct 16 ms 3840 KB Output is correct
53 Correct 16 ms 3840 KB Output is correct
54 Correct 16 ms 3840 KB Output is correct
55 Correct 16 ms 3840 KB Output is correct
56 Correct 17 ms 3840 KB Output is correct
57 Correct 20 ms 3840 KB Output is correct
58 Correct 20 ms 3712 KB Output is correct
59 Correct 20 ms 3712 KB Output is correct
60 Correct 20 ms 3712 KB Output is correct
61 Correct 16 ms 3840 KB Output is correct
62 Correct 16 ms 3892 KB Output is correct
63 Correct 16 ms 3840 KB Output is correct
64 Correct 21 ms 3712 KB Output is correct
65 Correct 26 ms 3840 KB Output is correct
66 Correct 20 ms 3840 KB Output is correct
67 Correct 23 ms 3712 KB Output is correct
68 Correct 16 ms 3968 KB Output is correct
69 Correct 16 ms 3840 KB Output is correct
70 Correct 15 ms 3840 KB Output is correct
71 Correct 16 ms 3840 KB Output is correct
72 Correct 20 ms 3712 KB Output is correct
73 Correct 13 ms 3712 KB Output is correct
74 Correct 16 ms 3840 KB Output is correct
75 Correct 16 ms 3840 KB Output is correct
76 Correct 15 ms 3712 KB Output is correct
77 Correct 15 ms 3712 KB Output is correct
78 Correct 15 ms 3832 KB Output is correct
79 Correct 15 ms 3712 KB Output is correct
80 Correct 15 ms 3840 KB Output is correct
81 Correct 16 ms 3840 KB Output is correct
82 Correct 21 ms 3712 KB Output is correct
83 Correct 17 ms 3888 KB Output is correct
84 Correct 16 ms 3840 KB Output is correct
85 Correct 16 ms 3712 KB Output is correct
86 Correct 17 ms 3840 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2816 KB Output is correct
2 Correct 4 ms 2816 KB Output is correct
3 Correct 4 ms 2816 KB Output is correct
4 Correct 5 ms 3012 KB Output is correct
5 Correct 6 ms 3072 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 2944 KB Output is correct
9 Correct 4 ms 2944 KB Output is correct
10 Correct 5 ms 2944 KB Output is correct
11 Correct 5 ms 2944 KB Output is correct
12 Correct 4 ms 2944 KB Output is correct
13 Correct 5 ms 2944 KB Output is correct
14 Correct 4 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 3072 KB Output is correct
18 Correct 6 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 3072 KB Output is correct
22 Correct 5 ms 3072 KB Output is correct
23 Correct 5 ms 2944 KB Output is correct
24 Correct 5 ms 2944 KB Output is correct
25 Correct 5 ms 2944 KB Output is correct
26 Correct 5 ms 2944 KB Output is correct
27 Correct 5 ms 3072 KB Output is correct
28 Correct 4 ms 2944 KB Output is correct
29 Correct 5 ms 2944 KB Output is correct
30 Correct 5 ms 3072 KB Output is correct
31 Correct 5 ms 2944 KB Output is correct
32 Correct 5 ms 2944 KB Output is correct
33 Correct 5 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 2992 KB Output is correct
41 Correct 5 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 8 ms 3072 KB Output is correct
46 Correct 21 ms 3840 KB Output is correct
47 Correct 23 ms 3712 KB Output is correct
48 Correct 22 ms 3712 KB Output is correct
49 Correct 16 ms 3968 KB Output is correct
50 Correct 16 ms 3968 KB Output is correct
51 Correct 17 ms 4096 KB Output is correct
52 Correct 16 ms 3840 KB Output is correct
53 Correct 16 ms 3840 KB Output is correct
54 Correct 16 ms 3840 KB Output is correct
55 Correct 16 ms 3840 KB Output is correct
56 Correct 17 ms 3840 KB Output is correct
57 Correct 20 ms 3840 KB Output is correct
58 Correct 20 ms 3712 KB Output is correct
59 Correct 20 ms 3712 KB Output is correct
60 Correct 20 ms 3712 KB Output is correct
61 Correct 16 ms 3840 KB Output is correct
62 Correct 16 ms 3892 KB Output is correct
63 Correct 16 ms 3840 KB Output is correct
64 Correct 21 ms 3712 KB Output is correct
65 Correct 26 ms 3840 KB Output is correct
66 Correct 20 ms 3840 KB Output is correct
67 Correct 23 ms 3712 KB Output is correct
68 Correct 16 ms 3968 KB Output is correct
69 Correct 16 ms 3840 KB Output is correct
70 Correct 15 ms 3840 KB Output is correct
71 Correct 16 ms 3840 KB Output is correct
72 Correct 20 ms 3712 KB Output is correct
73 Correct 13 ms 3712 KB Output is correct
74 Correct 16 ms 3840 KB Output is correct
75 Correct 16 ms 3840 KB Output is correct
76 Correct 15 ms 3712 KB Output is correct
77 Correct 15 ms 3712 KB Output is correct
78 Correct 15 ms 3832 KB Output is correct
79 Correct 15 ms 3712 KB Output is correct
80 Correct 15 ms 3840 KB Output is correct
81 Correct 16 ms 3840 KB Output is correct
82 Correct 21 ms 3712 KB Output is correct
83 Correct 17 ms 3888 KB Output is correct
84 Correct 16 ms 3840 KB Output is correct
85 Correct 16 ms 3712 KB Output is correct
86 Correct 17 ms 3840 KB Output is correct
87 Correct 54 ms 5248 KB Output is correct
88 Correct 218 ms 9536 KB Output is correct
89 Correct 946 ms 24832 KB Output is correct
90 Correct 944 ms 24704 KB Output is correct
91 Correct 944 ms 24920 KB Output is correct
92 Correct 985 ms 30944 KB Output is correct
93 Correct 1092 ms 31056 KB Output is correct
94 Correct 1037 ms 31020 KB Output is correct
95 Correct 695 ms 27132 KB Output is correct
96 Correct 707 ms 27120 KB Output is correct
97 Correct 685 ms 26908 KB Output is correct
98 Correct 701 ms 26988 KB Output is correct
99 Correct 674 ms 27396 KB Output is correct
100 Correct 877 ms 25420 KB Output is correct
101 Correct 929 ms 25436 KB Output is correct
102 Correct 896 ms 25340 KB Output is correct
103 Correct 922 ms 25196 KB Output is correct
104 Correct 902 ms 27184 KB Output is correct
105 Correct 901 ms 27120 KB Output is correct
106 Correct 905 ms 27244 KB Output is correct
107 Correct 823 ms 24360 KB Output is correct
108 Correct 874 ms 24368 KB Output is correct
109 Correct 859 ms 24760 KB Output is correct
110 Correct 1022 ms 30568 KB Output is correct
111 Correct 742 ms 26900 KB Output is correct
112 Correct 732 ms 26596 KB Output is correct
113 Correct 729 ms 26736 KB Output is correct
114 Correct 920 ms 25312 KB Output is correct
115 Correct 954 ms 25036 KB Output is correct
116 Correct 928 ms 26732 KB Output is correct
117 Correct 530 ms 25920 KB Output is correct
118 Correct 493 ms 25580 KB Output is correct
119 Correct 460 ms 25264 KB Output is correct
120 Correct 524 ms 25472 KB Output is correct
121 Correct 473 ms 25096 KB Output is correct
122 Correct 461 ms 24900 KB Output is correct
123 Correct 854 ms 25888 KB Output is correct
124 Correct 856 ms 25528 KB Output is correct
125 Correct 832 ms 25308 KB Output is correct
126 Correct 852 ms 25680 KB Output is correct
127 Correct 838 ms 25324 KB Output is correct
128 Correct 875 ms 25048 KB Output is correct