Submission #369641

# Submission time Handle Problem Language Result Execution time Memory
369641 2021-02-22T06:55:16 Z Atill83 Zoltan (COCI16_zoltan) C++14
42 / 140
586 ms 18892 KB
#include <bits/stdc++.h>
#define ff first
#define ss second
#define endl '\n'
using namespace std;
const long long INF = (long long) 1e18;
const int mod = (int) 1e9+7;
const int MAXN = (int) 3e5+5;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
ll n;
int a[MAXN];
map<int, int> mp;
int c = 1;
pii t[4*MAXN];


void build(int v, int tl, int tr){
    if(tl == tr){
        t[v] = {0, 0};
    }else{
        int tm = (tl + tr) / 2;

        build(2*v, tl, tm);
        build(2*v + 1, tm + 1, tr);

        if(t[2*v].ff == t[2*v + 1].ff)
            t[v].ff = t[2*v].ff, t[v].ss = (t[2*v].ss + t[2*v + 1].ss) % mod;
        else
            t[v] = max(t[2*v], t[2*v + 1]);
    }
}

pii que(int v, int tl, int tr, int l, int r){
    if(l > r)
        return {0, 0};
    else if(l == tl && r == tr)
        return t[v];
    else{
        int tm = (tl + tr) / 2;
        pii a = que(2*v, tl, tm, l, min(tm, r)), b = que(2*v + 1, tm + 1, tr, max(tm + 1, l), r);
        if(a.ff == b.ff)
            return {a.ff, (a.ss + b.ss) % mod};
        else
            return max(a, b);
    }
}

void upd(int v, int tl, int tr, int pos, pii val){
    if(tl == tr){
        if(t[v].ff == val.ff)
            t[v].ss = (t[v].ss + val.ss) % mod;
        else if(t[v].ff < val.ff)
            t[v] = val;
    }else{
        int tm = (tl + tr) / 2;
        if(pos <= tm)
            upd(2*v, tl, tm, pos, val);
        else
            upd(2*v + 1, tm + 1, tr, pos, val);
        if(t[2*v].ff == t[2*v + 1].ff)
            t[v].ff = t[2*v].ff, t[v].ss = (t[2*v].ss + t[2*v + 1].ss) % mod;
        else
            t[v] = max(t[2*v], t[2*v + 1]);
    }
}

int bp(int tab, int b){
    int res = 1;
    while(b){
        if(b % 2) 
            res = 1LL * res * tab % mod;
        tab = 1LL * tab * tab % mod;
        b = b / 2;
    }
    return res;
}


int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);cout.tie(nullptr);

    #ifdef Local
        freopen("C:/Users/Admin/Desktop/Yazilim/C/IO/int.txt","r",stdin);
        freopen("C:/Users/Admin/Desktop/Yazilim/C/IO/out.txt","w",stdout);
    #endif


    cin>>n;
    vector<int> comp;
    
    for(int i = 0; i < n; i++){
        cin>>a[i];
        comp.push_back(a[i]);
    }

    sort(comp.begin(), comp.end());
    comp.resize(unique(comp.begin(), comp.end()) - comp.begin());


    for(int i: comp)
        mp[i] = c++;

    for(int i = 0; i < n; i++)
        a[i] = mp[a[i]];

    build(1, 1, c);
    upd(1, 1, c, c, {0, 1});

    for(int i = n - 1; i > 0; i--){
        pii gt = que(1, 1, c, a[i] + 1, c);
        gt.ff++;
        upd(1, 1, c, a[i], gt);
    }
    

    vector<pii> frst(c + 1);
    frst[c] = {0, 1};
    for(int i = c - 1; i >= 1; i--){
        frst[i] = que(1, 1, c, i, i);
        if(frst[i].ff == frst[i + 1].ff)
            frst[i].ss = (frst[i].ss + frst[i + 1].ss) % mod;
    }


    build(1, 0, c - 1);
    upd(1, 0, c - 1, 0, {0, 1});

    for(int i = n - 1; i > 0; i--){
        pii gt = que(1, 0, c - 1, 0, a[i] - 1);
        gt.ff++;
        upd(1, 0, c - 1, a[i], gt);
    }


    int ansLen = 0, ansCount = 0;

    for(int i = 0; i < c; i++){
        pii dg = que(1, 0, c - 1, i, i);
        int nL = dg.ff + frst[i + 1].ff,
            nC = 1LL * (1LL * frst[i + 1].ss * dg.ss) % mod * bp(2, n - 1 - nL) % mod;
        if(nL > ansLen){
            ansLen = nL;
            ansCount = nC;
        }else if(nL == ansLen)
            ansCount = (ansCount + nC) % mod;
    }
    //cerr<<ansLen<<" "<<ansCount<<endl;ü
    

    pii alt = que(1, 0, c - 1, 0, a[0] - 1), ust = frst[a[0] + 1];

    int nL = alt.ff + ust.ff + 1, nC = 1LL * (1LL * alt.ss * ust.ss % mod) * bp(2, n - nL) % mod;
    //cerr<<nL<<" "<<nC<<endl;

    if(nL > ansLen){
        ansLen = nL;
        ansCount = nC;
    }else if(nL == ansLen)
        ansCount = (ansCount + nC) % mod;


    cout<<ansLen<<" "<<ansCount<<endl;





    #ifdef Local
        cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
    #endif
}
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 364 KB Output isn't correct
2 Incorrect 1 ms 364 KB Output isn't correct
3 Incorrect 1 ms 364 KB Output isn't correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Incorrect 2 ms 492 KB Output isn't correct
8 Incorrect 2 ms 492 KB Output isn't correct
9 Incorrect 2 ms 492 KB Output isn't correct
10 Incorrect 2 ms 492 KB Output isn't correct
11 Correct 322 ms 15592 KB Output is correct
12 Correct 290 ms 14056 KB Output is correct
13 Correct 268 ms 11500 KB Output is correct
14 Incorrect 383 ms 14440 KB Output isn't correct
15 Incorrect 468 ms 16872 KB Output isn't correct
16 Incorrect 586 ms 18892 KB Output isn't correct
17 Incorrect 434 ms 16744 KB Output isn't correct
18 Incorrect 399 ms 16488 KB Output isn't correct
19 Incorrect 418 ms 16488 KB Output isn't correct
20 Incorrect 415 ms 16488 KB Output isn't correct