Submission #369137

# Submission time Handle Problem Language Result Execution time Memory
369137 2021-02-20T14:08:06 Z Atill83 Zoltan (COCI16_zoltan) C++14
42 / 140
663 ms 27364 KB
#include <bits/stdc++.h>
#define ff first
#define ss second
#define endl '\n'
using namespace std;
#define int long long
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;
}


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 * 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 0 ms 364 KB Output isn't correct
2 Incorrect 1 ms 364 KB Output isn't correct
3 Incorrect 0 ms 364 KB Output isn't correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Incorrect 2 ms 640 KB Output isn't correct
8 Incorrect 2 ms 492 KB Output isn't correct
9 Incorrect 2 ms 364 KB Output isn't correct
10 Incorrect 2 ms 492 KB Output isn't correct
11 Correct 371 ms 23672 KB Output is correct
12 Correct 310 ms 21476 KB Output is correct
13 Correct 280 ms 16744 KB Output is correct
14 Incorrect 420 ms 21604 KB Output isn't correct
15 Incorrect 560 ms 24728 KB Output isn't correct
16 Incorrect 663 ms 27364 KB Output isn't correct
17 Incorrect 453 ms 24932 KB Output isn't correct
18 Incorrect 441 ms 24776 KB Output isn't correct
19 Incorrect 440 ms 25072 KB Output isn't correct
20 Incorrect 449 ms 24804 KB Output isn't correct