Submission #332428

#TimeUsernameProblemLanguageResultExecution timeMemory
332428zaneyuPalembang Bridges (APIO15_bridge)C++14
100 / 100
91 ms6520 KiB
/*input
1 5
B0A4
B1B3
A5B7
B2A6
B1A7
*/
#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<long long, null_type, less_equal<long long>, rb_tree_tag, tree_order_statistics_node_update> indexed_set;
#pragma GCC optimize("unroll-loops,no-stack-protector")
//order_of_key #of elements less than x
// find_by_order kth element
using ll = long long;
using ld = long double;
using pii = pair<ll,ll>;
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(int i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (int)x.size()
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()), c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
const ll INF64=4e18;
const int INF=0x3f3f3f3f;
const ll MOD=1e9+7;
const ld PI=acos(-1);
const ld eps=1e-9;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
#define MP make_pair
ll mult(ll a,ll b){
    return ((a%MOD)*(b%MOD))%MOD;
}
ll mypow(ll a,ll b){
    if(b<=0) return 1;
    ll res=1LL;
    while(b){
        if(b&1) res=(res*a)%MOD;
        a=(a*a)%MOD;
        b>>=1;
    } 
    return res;
}
const ll maxn=1e5+5;
const ll maxlg=__lg(maxn)+2;
#define int ll
ll pv[maxn],suff[maxn];
bool cmp(pii a,pii b){
    return a.f+a.s<b.f+b.s;
}
int32_t main(){
    ios::sync_with_stdio(false),cin.tie(0);
    int k,n;
    cin>>k>>n;
    ll ans=0;
    vector<pii> v;
    REP(i,n){
        char a,b;
        int x,y;
        cin>>a>>x>>b>>y;
        if(a==b) ans+=abs(x-y);
        else v.pb({x,y}),ans++;
    }
    sort(ALL(v),cmp);
    n=sz(v);
    if(!sz(v)){
        cout<<ans;
        return 0;
    }
    priority_queue<int> mn,mx;
    ll mns=0,mxs=0;
    REP(i,n){
        if(v[i].f>v[i].s) swap(v[i].f,v[i].s);
        if(!sz(mx)){
            mn.push(v[i].f),mns+=v[i].f;
            mx.push(-v[i].s),mxs+=v[i].s;
            pv[i]=mxs-mns;
            continue;
        }
        int mnn=mn.top(),mxx=-mx.top();
        if(v[i].s<=mnn){
            mn.pop();
            mns-=mnn;
            mn.push(v[i].f),mns+=v[i].f;
            mn.push(v[i].s),mns+=v[i].s;
            mx.push(-mnn),mxs+=mnn;
        }
        else if(v[i].f>=mxx){
            mx.pop();
            mxs-=mxx;
            mx.push(-v[i].f),mxs+=v[i].f;
            mx.push(-v[i].s),mxs+=v[i].s;
            mn.push(mxx),mns+=mxx;
        }
        else{
            mx.push(-v[i].s),mxs+=v[i].s;
            mn.push(v[i].f),mns+=v[i].f;
        }
        assert(sz(mx)==sz(mn));
        pv[i]=mxs-mns;
    }
    while(sz(mn)) mn.pop();
    while(sz(mx)) mx.pop();
    mns=mxs=0;
    ll cur=pv[n-1];
    for(int i=n-1;i>=0;i--){
        if(!sz(mx)){
            mn.push(v[i].f),mns+=v[i].f;
            mx.push(-v[i].s),mxs+=v[i].s;
            suff[i]=mxs-mns;
            continue;
        }
        int mnn=mn.top(),mxx=-mx.top();
        if(v[i].s<=mnn){
            mn.pop();
            mns-=mnn;
            mn.push(v[i].f),mns+=v[i].f;
            mn.push(v[i].s),mns+=v[i].s;
            mx.push(-mnn),mxs+=mnn;
        }
        else if(v[i].f>=mxx){
            mx.pop();
            mxs-=mxx;
            mx.push(-v[i].f),mxs+=v[i].f;
            mx.push(-v[i].s),mxs+=v[i].s;
            mn.push(mxx),mns+=mxx;
        }
        else{
            mx.push(-v[i].s),mxs+=v[i].s;
            mn.push(v[i].f),mns+=v[i].f;
        }
        assert(sz(mx)==sz(mn));
        suff[i]=mxs-mns;
    }
    if(k==2) REP(i,n-1) MNTO(cur,pv[i]+suff[i+1]);
    cout<<ans+cur;
    
}
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