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Submission #534912

# Submission time Handle Problem Language Result Execution time Memory
534912 2022-03-09T06:36:20 Z vector Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 155 ms 38272 KB 
#include<bits/stdc++.h>
#define MOD 1000000007
#define SIZE 100010
using namespace std;
typedef long long ll;
struct st1
{
    ll l,r;
};
struct st2
{
    ll h,w,idx;
};
ll N,psum[SIZE],ans,seg2[SIZE<<2],lz[SIZE<<2];
st1 sparse[SIZE][17];
st2 A[SIZE];
vector<st2>v;
void push(ll l,ll r,ll node)
{
    if(lz[node]==0)return;
    seg2[node]=lz[node];
    if(l^r)lz[node<<1]=lz[node<<1|1]=lz[node];
    lz[node]=0;
}
void upd(ll l,ll r,ll node,ll s,ll e,ll x)
{
    push(l,r,node);
    if(l>e||r<s)return;
    if(s<=l&&r<=e){
        lz[node]=x;
        push(l,r,node);
        return;
    }
    ll mid=l+r>>1;
    upd(l,mid,node<<1,s,e,x);
    upd(mid+1,r,node<<1|1,s,e,x);
}
ll que(ll l,ll r,ll node,ll s)
{
    push(l,r,node);
    if(l>s||r<s)return 0;
    if(l==s&&r==s)return seg2[node];
    ll mid=l+r>>1;
    return max(que(l,mid,node<<1,s),que(mid+1,r,node<<1|1,s));
}
bool comp(st2 x,st2 y)
{
    return x.h<y.h;
}
ll S(ll x)
{
    x%=MOD;
    return (x*(x+1)/2)%MOD;
}
int main()
{
    ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
    cin>>N;
    for(int i=1;i<=N;i++)cin>>A[i].h;
    for(int i=1;i<=N;i++)cin>>A[i].w;
    bool f=false;
    st2 temp={0,0,0};
    v.push_back(temp);
    for(int i=1;i<=N;i++){
        if(f){
            if(temp.h==A[i].h)temp.w+=A[i].w;
            else{
                v.push_back(temp);
                f=false;
            }
        }
        if(!f){
            temp.h=A[i].h;
            temp.w=A[i].w;
            f=true;
        }
    }
    v.push_back(temp);
    N=v.size()-1;
    temp={0,MOD,N+1};
    v.push_back(temp);
    for(ll i=1;i<=N;i++){
        v[i].idx=i;
        //printf("[%lld %lld %lld]\n",v[i].h,v[i].w,v[i].idx);
        psum[i]=psum[i-1]+v[i].w;
    }
    for(ll i=1;i<=N;i++){
        sparse[i][0].r=v[i+1].h;
        sparse[i][0].l=v[i-1].h;
        //printf("[%lld %lld] ",sparse[i][0].l,sparse[i][0].r);
    }
    //printf("\n");
    for(ll j=1;j<17;j++){
        for(ll i=1;i<=N;i++){
            sparse[i][j].r=min(sparse[i][j-1].r,sparse[min(N,i+(1<<(j-1)))][j-1].r);
            sparse[i][j].l=min(sparse[i][j-1].l,sparse[max(1ll,i-(1<<(j-1)))][j-1].l);
            //printf("[%lld %lld] ",sparse[i][j].l,sparse[i][j].r);
        }
        //printf("\n");
    }
    sort(v.begin(),v.end()-1,comp);
    for(ll j=1;j<=N;j++){
        ll i=v[j].idx;
        ll l=1,r=i,mid,a,b,mx,x=i;
        for(ll k=16;k>=0;k--)if(sparse[x][k].r>=v[j].h)x=min(N,x+(1<<k));
        b=x;
        x=i;
        for(ll k=16;k>=0;k--)if(sparse[x][k].l>=v[j].h)x=max(1ll,x-(1<<k));
        a=x;
        mx=que(1,N,1,i);
        upd(1,N,1,a,b,v[j].h);
        //printf("%lld %lld %lld %lld %lld\n",a,b,i,v[j].h,mx);
        ans=(ans+S(psum[b]-psum[a-1])*(S(v[j].h)-S(mx)+MOD))%MOD;
        //printf("%lld\n",ans);
    }
    cout<<ans;
}

Compilation message

fancyfence.cpp: In function 'void upd(ll, ll, ll, ll, ll, ll)':
fancyfence.cpp:34:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   34 |     ll mid=l+r>>1;
      |            ~^~
fancyfence.cpp: In function 'll que(ll, ll, ll, ll)':
fancyfence.cpp:43:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   43 |     ll mid=l+r>>1;
      |            ~^~
fancyfence.cpp: In function 'int main()':
fancyfence.cpp:104:12: warning: unused variable 'l' [-Wunused-variable]
  104 |         ll l=1,r=i,mid,a,b,mx,x=i;
      |            ^
fancyfence.cpp:104:16: warning: unused variable 'r' [-Wunused-variable]
  104 |         ll l=1,r=i,mid,a,b,mx,x=i;
      |                ^
fancyfence.cpp:104:20: warning: unused variable 'mid' [-Wunused-variable]
  104 |         ll l=1,r=i,mid,a,b,mx,x=i;
      |                    ^~~

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 716 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 23 ms 10376 KB Output is correct
4 Correct 35 ms 14364 KB Output is correct
5 Correct 46 ms 20252 KB Output is correct
6 Correct 26 ms 10136 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 2 ms 460 KB Output is correct
3 Correct 10 ms 1484 KB Output is correct
4 Correct 19 ms 2604 KB Output is correct
5 Correct 25 ms 2644 KB Output is correct
6 Correct 1 ms 332 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 10 ms 1484 KB Output is correct
5 Correct 18 ms 2580 KB Output is correct
6 Correct 30 ms 2652 KB Output is correct
7 Correct 1 ms 716 KB Output is correct
8 Correct 9 ms 4168 KB Output is correct
9 Correct 24 ms 8656 KB Output is correct
10 Correct 131 ms 36640 KB Output is correct
11 Correct 104 ms 36600 KB Output is correct
12 Correct 1 ms 332 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 716 KB Output is correct
3 Correct 1 ms 296 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 456 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 744 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 716 KB Output is correct
14 Correct 2 ms 716 KB Output is correct
15 Correct 1 ms 716 KB Output is correct
16 Correct 1 ms 332 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 716 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 716 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 24 ms 10288 KB Output is correct
12 Correct 36 ms 14376 KB Output is correct
13 Correct 48 ms 20268 KB Output is correct
14 Correct 26 ms 10148 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 3 ms 716 KB Output is correct
17 Correct 11 ms 2360 KB Output is correct
18 Correct 21 ms 4176 KB Output is correct
19 Correct 23 ms 4216 KB Output is correct
20 Correct 1 ms 716 KB Output is correct
21 Correct 9 ms 4296 KB Output is correct
22 Correct 27 ms 9560 KB Output is correct
23 Correct 107 ms 38240 KB Output is correct
24 Correct 102 ms 38188 KB Output is correct
25 Correct 1 ms 316 KB Output is correct
26 Correct 1 ms 460 KB Output is correct
27 Correct 1 ms 716 KB Output is correct
28 Correct 2 ms 716 KB Output is correct
29 Correct 1 ms 716 KB Output is correct
30 Correct 9 ms 4296 KB Output is correct
31 Correct 10 ms 4296 KB Output is correct
32 Correct 57 ms 19256 KB Output is correct
33 Correct 63 ms 19496 KB Output is correct
34 Correct 137 ms 38184 KB Output is correct
35 Correct 134 ms 37932 KB Output is correct
36 Correct 155 ms 38268 KB Output is correct
37 Correct 139 ms 38184 KB Output is correct
38 Correct 0 ms 332 KB Output is correct
39 Correct 154 ms 38192 KB Output is correct
40 Correct 124 ms 38192 KB Output is correct
41 Correct 115 ms 38272 KB Output is correct
42 Correct 100 ms 38272 KB Output is correct