Submission #1180309

#TimeUsernameProblemLanguageResultExecution timeMemory
1180309asli_bgNLO (COCI18_nlo)C++20
110 / 110
2443 ms7572 KiB
#include<bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;

#define int long long
//#define int double

typedef pair<int,int> pii;
typedef vector<pii> vii;
typedef vector<int> vi;
typedef vector<bool> vb;

#define FOR(i,a) for(int i=0;i<(a);i++)
#define FORE(i,a,b) for(int i=(a);i<(b);i++)

#define all(x) x.begin(),x.end()
#define fi first
#define se second
#define pb push_back
#define sp <<" "<<

#define cont(x) for(auto el:x) cout<<el<<' ';cout<<endl;
#define contp(x) for(auto el:x) cout<<el.fi<<'-'<<el.se<<' ';cout<<endl;

#define DEBUG(x) cout<<#x sp x<<endl;
#define carp(x,y) ((x%MOD)*(y%MOD))%MOD
#define topla(x,y) ((x%MOD)+(y%MOD))%MOD
#define mid (l+r)/2

const int MAXN=1e5+5;
const int MOD=1e9+7;
const int INF=1e18;

vi kare;

void calc(){
    FORE(i,0,MAXN){
        kare.pb(i*i);
    }
}

int n,m;

int t[4*MAXN];
pii lazy[4*MAXN];

void push(int nd,int l,int r){
    if(lazy[nd].fi==-1 or l==r) return; //no assignment

    if(lazy[nd].fi==0){
        lazy[nd*2]=lazy[nd*2+1]=lazy[nd];
        t[nd*2]=t[nd*2+1]=0;
        lazy[nd].fi=-1;
        return;
    }

    if(lazy[nd].se>lazy[nd*2].se){
        lazy[nd*2]=lazy[nd];
        t[nd*2]=(mid-l+1)*lazy[nd].fi;
    }
    else if(lazy[nd].se==lazy[nd*2].se){
        if(lazy[nd].fi>lazy[nd*2].fi){
            lazy[nd*2]=lazy[nd];
            t[nd*2]=(mid-l+1)*lazy[nd].fi;
        }
    }

    if(lazy[nd].se>lazy[nd*2+1].se){
        lazy[nd*2+1]=lazy[nd];
        t[nd*2+1]=(r-(mid+1)+1)*lazy[nd].fi;
    }
    else if(lazy[nd].se==lazy[nd*2+1].se){
        if(lazy[nd].fi>lazy[nd*2+1].fi){
            lazy[nd*2+1]=lazy[nd];
            t[nd*2+1]=(r-(mid+1)+1)*lazy[nd].fi;
        }
    }

    lazy[nd].fi=-1;
}

int cur;

void update(int ql,int qr,int val,int nd=1,int l=1,int r=m){
    if(l>r or l>qr or r<ql) return;
    push(nd,l,r);
    if(ql<=l and r<=qr){
        //cout<<"segt" sp l sp r sp ql sp qr sp val<<endl;
        t[nd]=val*(r-l+1);
        lazy[nd]={val,cur};
        return;
    }
    update(ql,qr,val,nd*2,l,mid);
    update(ql,qr,val,nd*2+1,mid+1,r);

    t[nd]=t[nd*2]+t[nd*2+1];
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    calc();

    cin>>n>>m;
    int k;
    cin>>k;

    vi x(k+1),y(k+1),r(k+1);
    FORE(i,1,k+1){
        cin>>y[i]>>x[i]>>r[i];
    }

    int ans=n*m*k;
    FORE(yy,1,n+1){ //her satır için
        update(1,m,0);
        cur=yy;
        FORE(i,1,k+1){ //tüm kları gez
            int deg=r[i]*r[i]-abs(yy-y[i])*abs(yy-y[i]);
            auto c=upper_bound(all(kare),deg)-1-kare.begin();
            //cout<<"here" sp yy sp i sp x[i]-c sp x[i]+c<<endl;
            if(c>=0){
                update(x[i]-c,x[i]+c,i);
            }
        }
        ans-=t[1];
    }

    cout<<ans<<endl;
}   


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