oj.uz

Submission #122035

# Submission time Handle Problem Language Result Execution time Memory
122035 2019-06-27T12:04:13 Z shayan_p Long Distance Coach (JOI17_coach) C++14
71 / 100
 2000 ms 14728 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=90, SQ2=(maxn/SQ1) + 5;
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, w=s%SQ1;
    while(f<s && w) real[id][s-1- id*SQ1].S+= x*cnt, cnt++, s--, w--;
    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;

    #ifdef shayan
    //   srand(time(0));
    x=1e12, n=2e5, m=2e5, W=513051, T=rand();
    #else
    cin>>x>>n>>m>>W>>T;
    #endif
    
    for(int i=0;i<n;i++){
	#ifdef shayan
	a[i]= 1ll* (rand()%999) * (rand()%1000000) + 1;
	#else
	cin>>a[i];
	#endif
    }
    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++){
	#ifdef shayan
	p[i].F= rand(), p[i].S= rand();
	#else
	cin>>p[i].F>>p[i].S;
	#endif
	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 512 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 2 ms 512 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 2 ms 512 KB Output is correct
11 Correct 3 ms 512 KB Output is correct
12 Correct 2 ms 512 KB Output is correct
13 Correct 2 ms 512 KB Output is correct
14 Correct 2 ms 512 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
16 Correct 2 ms 512 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 3 ms 512 KB Output is correct
19 Correct 2 ms 512 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 2 ms 512 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 512 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 2 ms 512 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 2 ms 512 KB Output is correct
11 Correct 3 ms 512 KB Output is correct
12 Correct 2 ms 512 KB Output is correct
13 Correct 2 ms 512 KB Output is correct
14 Correct 2 ms 512 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
16 Correct 2 ms 512 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 3 ms 512 KB Output is correct
19 Correct 2 ms 512 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 2 ms 512 KB Output is correct
23 Correct 3 ms 512 KB Output is correct
24 Correct 3 ms 512 KB Output is correct
25 Correct 3 ms 512 KB Output is correct
26 Correct 3 ms 512 KB Output is correct
27 Correct 3 ms 512 KB Output is correct
28 Correct 3 ms 512 KB Output is correct
29 Correct 3 ms 512 KB Output is correct
30 Correct 3 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 3 ms 512 KB Output is correct
33 Correct 3 ms 512 KB Output is correct
34 Correct 3 ms 512 KB Output is correct
35 Correct 3 ms 512 KB Output is correct
36 Correct 3 ms 512 KB Output is correct
37 Correct 3 ms 512 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 512 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 2 ms 512 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 2 ms 512 KB Output is correct
11 Correct 3 ms 512 KB Output is correct
12 Correct 2 ms 512 KB Output is correct
13 Correct 2 ms 512 KB Output is correct
14 Correct 2 ms 512 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
16 Correct 2 ms 512 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 3 ms 512 KB Output is correct
19 Correct 2 ms 512 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 2 ms 512 KB Output is correct
23 Correct 3 ms 512 KB Output is correct
24 Correct 3 ms 512 KB Output is correct
25 Correct 3 ms 512 KB Output is correct
26 Correct 3 ms 512 KB Output is correct
27 Correct 3 ms 512 KB Output is correct
28 Correct 3 ms 512 KB Output is correct
29 Correct 3 ms 512 KB Output is correct
30 Correct 3 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 3 ms 512 KB Output is correct
33 Correct 3 ms 512 KB Output is correct
34 Correct 3 ms 512 KB Output is correct
35 Correct 3 ms 512 KB Output is correct
36 Correct 3 ms 512 KB Output is correct
37 Correct 3 ms 512 KB Output is correct
38 Correct 16 ms 640 KB Output is correct
39 Correct 22 ms 732 KB Output is correct
40 Correct 23 ms 704 KB Output is correct
41 Correct 16 ms 768 KB Output is correct
42 Correct 16 ms 768 KB Output is correct
43 Correct 14 ms 668 KB Output is correct
44 Correct 16 ms 768 KB Output is correct
45 Correct 16 ms 768 KB Output is correct
46 Correct 16 ms 768 KB Output is correct
47 Correct 33 ms 760 KB Output is correct
48 Correct 16 ms 768 KB Output is correct
49 Correct 13 ms 768 KB Output is correct
50 Correct 15 ms 768 KB Output is correct
51 Correct 16 ms 640 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 512 KB Output is correct
2 Correct 5 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 2 ms 512 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 2 ms 512 KB Output is correct
11 Correct 3 ms 512 KB Output is correct
12 Correct 2 ms 512 KB Output is correct
13 Correct 2 ms 512 KB Output is correct
14 Correct 2 ms 512 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
16 Correct 2 ms 512 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 3 ms 512 KB Output is correct
19 Correct 2 ms 512 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 2 ms 512 KB Output is correct
23 Correct 3 ms 512 KB Output is correct
24 Correct 3 ms 512 KB Output is correct
25 Correct 3 ms 512 KB Output is correct
26 Correct 3 ms 512 KB Output is correct
27 Correct 3 ms 512 KB Output is correct
28 Correct 3 ms 512 KB Output is correct
29 Correct 3 ms 512 KB Output is correct
30 Correct 3 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 3 ms 512 KB Output is correct
33 Correct 3 ms 512 KB Output is correct
34 Correct 3 ms 512 KB Output is correct
35 Correct 3 ms 512 KB Output is correct
36 Correct 3 ms 512 KB Output is correct
37 Correct 3 ms 512 KB Output is correct
38 Correct 16 ms 640 KB Output is correct
39 Correct 22 ms 732 KB Output is correct
40 Correct 23 ms 704 KB Output is correct
41 Correct 16 ms 768 KB Output is correct
42 Correct 16 ms 768 KB Output is correct
43 Correct 14 ms 668 KB Output is correct
44 Correct 16 ms 768 KB Output is correct
45 Correct 16 ms 768 KB Output is correct
46 Correct 16 ms 768 KB Output is correct
47 Correct 33 ms 760 KB Output is correct
48 Correct 16 ms 768 KB Output is correct
49 Correct 13 ms 768 KB Output is correct
50 Correct 15 ms 768 KB Output is correct
51 Correct 16 ms 640 KB Output is correct
52 Execution timed out 2041 ms 14728 KB Time limit exceeded
53 Halted 0 ms 0 KB -