Submission #369131

# Submission time Handle Problem Language Result Execution time Memory
369131 2021-02-20T13:52:54 Z Atill83 Zoltan (COCI16_zoltan) C++14
42 / 140
543 ms 17000 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) 2e5+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;
}


int 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);
        //cerr<<i<<endl;
        //cerr<<dg.ff<<" "<<dg.ss<<endl<<frst[i + 1].ff<<" "<<frst[i + 1].ss<<endl;
        int nL = dg.ff + frst[i + 1].ff,
            nC = 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;

    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 * 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 0 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 364 KB Output isn't correct
8 Incorrect 2 ms 364 KB Output isn't correct
9 Incorrect 2 ms 364 KB Output isn't correct
10 Incorrect 2 ms 364 KB Output isn't correct
11 Correct 319 ms 14312 KB Output is correct
12 Correct 281 ms 13032 KB Output is correct
13 Correct 263 ms 10476 KB Output is correct
14 Incorrect 373 ms 13160 KB Output isn't correct
15 Incorrect 491 ms 15208 KB Output isn't correct
16 Incorrect 543 ms 17000 KB Output isn't correct
17 Incorrect 388 ms 15208 KB Output isn't correct
18 Incorrect 414 ms 15336 KB Output isn't correct
19 Incorrect 400 ms 15208 KB Output isn't correct
20 Incorrect 430 ms 15208 KB Output isn't correct