Submission #787808

# Submission time Handle Problem Language Result Execution time Memory
787808 2023-07-19T12:54:38 Z andrei_boaca Radio Towers (IOI22_towers) C++17
0 / 100
4000 ms 30148 KB
#include "towers.h"
#include <bits/stdc++.h>
//#include "stub.cpp"
using namespace std;
typedef pair<int,int> pii;
int n;
int v[100005];
int rmq[22][100005];
int loga[100005];
int lft[100005],rgt[100005];
int tolft[100005];
int getmax(int l,int r)
{
    int lg=loga[r-l+1];
    return max(rmq[lg][l],rmq[lg][r-(1<<lg)+1]);
}
int getR(int poz,int delta)
{
    int st=poz+2;
    int dr=n;
    int ans=1e9;
    while(st<=dr)
    {
        int mij=(st+dr)/2;
        if(getmax(poz+1,mij-1)-delta>=v[poz])
        {
            ans=mij;
            dr=mij-1;
        }
        else
            st=mij+1;
    }
    return ans;
}
int getL(int poz,int delta)
{
    int st=1;
    int dr=poz-2;
    int ans=0;
    while(st<=dr)
    {
        int mij=(st+dr)/2;
        if(getmax(mij+1,poz-1)-delta>=v[poz])
        {
            ans=mij;
            st=mij+1;
        }
        else
            dr=mij-1;
    }
    return ans;
}
int bin[22][100005];
int rmin[22][100005];
int uplft[100005];
int getmin(int l,int r)
{
    int lg=loga[r-l+1];
    return min(rmin[lg][l],rmin[lg][r-(1<<lg)+1]);
}
bool subtask1=1;
int magic;
void init(int N, std::vector<int> H) {
    n=N;
    for(int i=1;i<=n;i++)
    {
        v[i]=H[i-1];
        for(int j=0;j<=20;j++)
            if((1<<j)<=i)
                loga[i]=j;
    }
    bool cresc=1;
    for(int i=1;i<=n;i++)
    {
        if(v[i]==v[i-1])
        {
            subtask1=0;
            break;
        }
        if(cresc==1)
        {
            if(v[i]<v[i-1])
            {
                magic=i-1;
                cresc=0;
                continue;
            }
        }
        else
        {
            if(v[i]>v[i-1])
            {
                subtask1=0;
                break;
            }
        }
    }
    if(subtask1==1)
    {
        if(magic==0)
            magic=n;
    }
    for(int i=n;i>=1;i--)
    {
        rmq[0][i]=v[i];
        rmin[0][i]=v[i];
        for(int j=1;j<=20;j++)
        {
            rmq[j][i]=rmq[j-1][i];
            rmin[j][i]=rmin[j-1][i];
            int poz=i+(1<<(j-1));
            if(poz<=n)
            {
                rmq[j][i]=max(rmq[j][i],rmq[j-1][poz]);
                rmin[j][i]=min(rmin[j][i],rmin[j-1][poz]);
            }
        }
    }
    for(int i=1;i<=n;i++)
    {
        if(v[i]<=v[i-1])
            tolft[i]=i;
        else
            tolft[i]=tolft[i-1];
    }
    for(int i=1;i<=n;i++)
    {
        uplft[i]=i;
        if(v[i-1]>=v[i])
            uplft[i]=uplft[i-1];
    }
    for(int i=1;i<=n;i++)
    {
        lft[i]=getL(i,1)+1;
        lft[i]=uplft[lft[i]]-1;
        lft[i]=tolft[lft[i]];
        bin[0][i]=lft[i];
        for(int j=1;j<=20;j++)
            bin[j][i]=bin[j-1][bin[j-1][i]];
    }
}
int dp[100005];
int arb[4*100005];
vector<int> add[100005];
void update(int nod,int st,int dr,int poz,int val)
{
    if(st==dr)
    {
        arb[nod]=val;
        return;
    }
    int mij=(st+dr)/2;
    if(poz<=mij)
        update(nod*2,st,mij,poz,val);
    else
        update(nod*2+1,mij+1,dr,poz,val);
    arb[nod]=max(arb[nod*2],arb[nod*2+1]);
}
int query(int nod,int st,int dr,int a,int b)
{
    if(st>=a&&dr<=b)
        return arb[nod];
    int mij=(st+dr)/2;
    int rez=0;
    if(a<=mij)
        rez=max(rez,query(nod*2,st,mij,a,b));
    if(b>mij)
        rez=max(rez,query(nod*2+1,mij+1,dr,a,b));
    return rez;
}
int max_towers(int L, int R, int D)
{
    L++;
    R++;
    if(subtask1==1)
    {
        if(L<magic&&R>magic)
        {
            if(v[magic]-D>=max(v[L],v[R]))
                return 1;
            return 0;
        }
        return 0;
    }
    if(D==1)
    {
        int rez=1;
        int nod=tolft[R];
        for(int j=20;j>=0;j--)
            if(bin[j][nod]>=L)
            {
                rez+=(1<<j);
                nod=bin[j][nod];
            }
        int l=getL(nod,1)+1;
        l=uplft[l];
        int st=L;
        int dr=l-1;
        if(st<=dr)
        {
            if(getmin(st,dr)<v[l])
                rez++;
        }
        return rez;
    }
    for(int i=1;i<=4*n;i++)
        arb[i]=0;
    for(int i=1;i<=n;i++)
        add[i].clear();
    int ans=1;
    for(int i=L;i<=R;i++)
    {
        for(int j:add[i])
            update(1,1,n,j,dp[j]);
        dp[i]=1;
        int r=getR(i,D);
        int l=getL(i,D);
        if(l>=L)
            dp[i]=1+query(1,1,n,L,l);
        ans=max(ans,dp[i]);
        if(r<=R)
            add[r].push_back(i);
    }
    //assert(dp[tolft[R]]==ans);
    return ans;
}
# Verdict Execution time Memory Grader output
1 Incorrect 241 ms 19280 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3024 KB Output is correct
2 Correct 2 ms 3536 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 2 ms 3536 KB Output is correct
7 Correct 2 ms 3536 KB Output is correct
8 Incorrect 2 ms 3408 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3024 KB Output is correct
2 Correct 2 ms 3536 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 2 ms 3536 KB Output is correct
7 Correct 2 ms 3536 KB Output is correct
8 Incorrect 2 ms 3408 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 631 ms 30148 KB Output is correct
2 Correct 914 ms 30048 KB Output is correct
3 Correct 848 ms 30056 KB Output is correct
4 Correct 738 ms 30052 KB Output is correct
5 Correct 896 ms 30024 KB Output is correct
6 Correct 943 ms 29944 KB Output is correct
7 Correct 899 ms 30044 KB Output is correct
8 Incorrect 639 ms 30008 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 4088 ms 10412 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 3024 KB Output is correct
2 Correct 2 ms 3536 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 2 ms 3536 KB Output is correct
7 Correct 2 ms 3536 KB Output is correct
8 Incorrect 2 ms 3408 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 241 ms 19280 KB 1st lines differ - on the 1st token, expected: '1', found: '0'
2 Halted 0 ms 0 KB -