oj.uz

Submission #122018

# Submission time Handle Problem Language Result Execution time Memory
122018 2019-06-27T11:35:35 Z shayan_p Long Distance Coach (JOI17_coach) C++14
71 / 100
 2000 ms 17860 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)
#define real STH_STRANGE
 
using namespace std;
 
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef long double ld;
 
const int maxn=2e5+10,mod=1e9+7, SQ1=505, SQ2=400;
const ll inf=1e18;
 
ll a[maxn], d[maxn], dp[maxn], W, T;
pll p[maxn];
pair<ll,int> upd[maxn];
 
 
vector<pll> cht[SQ2], real[SQ2];
ll lz1[SQ2], lz2[SQ2];// tedad jaam // tedad prefix jaam
 
bool bad(pll a,pll b,pll c){
    return ld(a.S-b.S) / ld(b.F-a.F) >= ld(b.S-c.S) / ld(c.F-b.F);
}
ll gety(pll p,ll x){
    return p.F*x + p.S;
}
void add(vector<pll>&v, ll a,ll b){
    if(sz(v) && v.back().F == a){
	if( v.back().S <= b ) return;
	v.pop_back();
    }
    while(sz(v)>1 && bad(v[sz(v)-2], v[sz(v)-1], {a,b} ) ) v.pop_back();
    v.PB({a,b});
}
ll ask(vector<pll>&v, ll x){
    assert(sz(v));
    int l=0,r=sz(v);
    
    while(r-l>2){
	int mid=(l+r+1)>>1;
	if(gety(v[mid-1],x) < gety(v[mid],x) ) r=mid;
	else l=mid;
    }
    if(r-l==1) return gety(v[l],x);
    return min( gety(v[l],x), gety(v[l+1],x) );
}
 
 
void relax(int id){
    cht[id].clear();
    for(auto &x:real[id])
	x.S+= x.F * lz2[id] + lz1[id];
    lz1[id]=lz2[id]=0;
}
void build(int id){
    for(auto x:real[id])
	add(cht[id], x.F, x.S);
}
void add(int f,int s,ll x){
    if(f>=s) return;
    int id=f/SQ1;
    relax(id);
    for(int i=0;i<id;i++) lz1[i]+= x*(s-f);
    for(int i=0;i<sz(real[id]);i++) real[id][i].S+= x* max(int(0), s-max(f,i + id*SQ1 +1));
    build(id), f=SQ1* (id+1);
    
    id=s/SQ1;
    relax(id);
    
    int cnt=0;
    while(f<s && s%SQ1) real[id][s-1- id*SQ1].S+= x*cnt, cnt++, s--;
    build(id);
    
    if(f>=s) return;
    f/=SQ1, s/=SQ1;
    while(f<s) cnt+=SQ1, lz1[s-1]+=x* cnt, lz2[s-1]+=x, s--;
}
ll ask(){
    ll ans=inf;
    for(int i=0;i<SQ2;i++){
	if(sz(cht[i])) ans=min(ans, ask(cht[i],lz2[i]) + lz1[i]);
    }
    return ans;
}
 
int main(){
    ios_base::sync_with_stdio(false);cin.tie(0);

    ll x; int n,m; cin>>x>>n>>m>>W>>T;
 
    for(int i=0;i<n;i++){
	cin>>a[i];
    }
    sort(a,a+n);
    a[n++]=x;
 
    ll ans=W*((x/T)+1);
    
    p[0]={0,inf}, d[0]=0;
 
    for(int i=1;i<=m;i++){
	cin>>p[i].F>>p[i].S;
	d[i]=p[i].F;
	p[i].S-= W* (x/T), ans+= W* (x/T);
	if( (p[i].F%T) < (x%T) ) p[i].S-= W, ans+=W;
    }
    m++;
    
    sort(p,p+m), sort(d,d+m);
 
    for(int i=0;i<=m;i++){
	upd[i]={inf,0};
    }
    
    ll lst=0;
    for(int i=0;i<n;i++){
	int A=lower_bound(d,d+m,lst %T)-d, B=lower_bound(d,d+m,a[i] %T)-d;	
	if( lst< (a[i]/T)*T ) A=0;	
	if(A!=B) upd[B]= min(upd[B], {a[i]/T,A} );
	lst=a[i];
    }
 
    real[0].PB({-1,0});
    build(0);
    
    vector< pair<pii,ll> >v;
    
    for(int i=1;i<=m;i++){
	if(upd[i].F!=inf){
	    pair<ll,int>p=upd[i];
	    if(sz(v)==0){
		assert(p.S==0);
		add(0,i, W*p.F);
		v.PB({{0,i},p.F});
	    }
	    else{
		add(v.back().F.S, i, W* p.F);
		while(sz(v) && p.F<v.back().S) add(v.back().F.F, v.back().F.S, W*( p.F- v.back().S) ), v.pop_back();
		v.PB({ {v.back().F.S,i}, p.F});
	    }
	}
	dp[i]=dp[i-1];
	if(sz(v) && v.back().F.S==i) dp[i]= ask();

	for(int j=0;j<SQ2;j++)
	    lz1[j]+= p[i].S;
	
	relax(i/SQ1);
	real[i/SQ1].PB({-(i%SQ1)-1,dp[i]});
	build(i/SQ1);
    }
    return cout<<dp[m]+ans<<endl,0;
}
// Deathly mistakes:
//  * Read the problem curfully.
//  * Check maxn
//  * Overflows.

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 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 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 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 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 3 ms 384 KB Output is correct
26 Correct 3 ms 384 KB Output is correct
27 Correct 3 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 384 KB Output is correct
30 Correct 3 ms 384 KB Output is correct
31 Correct 2 ms 384 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
33 Correct 3 ms 384 KB Output is correct
34 Correct 3 ms 384 KB Output is correct
35 Correct 3 ms 384 KB Output is correct
36 Correct 2 ms 384 KB Output is correct
37 Correct 2 ms 384 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 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 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 3 ms 384 KB Output is correct
26 Correct 3 ms 384 KB Output is correct
27 Correct 3 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 384 KB Output is correct
30 Correct 3 ms 384 KB Output is correct
31 Correct 2 ms 384 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
33 Correct 3 ms 384 KB Output is correct
34 Correct 3 ms 384 KB Output is correct
35 Correct 3 ms 384 KB Output is correct
36 Correct 2 ms 384 KB Output is correct
37 Correct 2 ms 384 KB Output is correct
38 Correct 43 ms 620 KB Output is correct
39 Correct 80 ms 628 KB Output is correct
40 Correct 68 ms 632 KB Output is correct
41 Correct 46 ms 632 KB Output is correct
42 Correct 46 ms 760 KB Output is correct
43 Correct 43 ms 512 KB Output is correct
44 Correct 47 ms 640 KB Output is correct
45 Correct 45 ms 640 KB Output is correct
46 Correct 41 ms 632 KB Output is correct
47 Correct 73 ms 640 KB Output is correct
48 Correct 42 ms 640 KB Output is correct
49 Correct 29 ms 636 KB Output is correct
50 Correct 42 ms 640 KB Output is correct
51 Correct 42 ms 640 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 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 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 3 ms 384 KB Output is correct
26 Correct 3 ms 384 KB Output is correct
27 Correct 3 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 384 KB Output is correct
30 Correct 3 ms 384 KB Output is correct
31 Correct 2 ms 384 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
33 Correct 3 ms 384 KB Output is correct
34 Correct 3 ms 384 KB Output is correct
35 Correct 3 ms 384 KB Output is correct
36 Correct 2 ms 384 KB Output is correct
37 Correct 2 ms 384 KB Output is correct
38 Correct 43 ms 620 KB Output is correct
39 Correct 80 ms 628 KB Output is correct
40 Correct 68 ms 632 KB Output is correct
41 Correct 46 ms 632 KB Output is correct
42 Correct 46 ms 760 KB Output is correct
43 Correct 43 ms 512 KB Output is correct
44 Correct 47 ms 640 KB Output is correct
45 Correct 45 ms 640 KB Output is correct
46 Correct 41 ms 632 KB Output is correct
47 Correct 73 ms 640 KB Output is correct
48 Correct 42 ms 640 KB Output is correct
49 Correct 29 ms 636 KB Output is correct
50 Correct 42 ms 640 KB Output is correct
51 Correct 42 ms 640 KB Output is correct
52 Execution timed out 2055 ms 17860 KB Time limit exceeded
53 Halted 0 ms 0 KB -