Submission #369135

# Submission time Handle Problem Language Result Execution time Memory
369135 2021-02-20T13:58:35 Z Atill83 Zoltan (COCI16_zoltan) C++14
42 / 140
602 ms 21604 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;
#define int long long
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 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 0 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 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 330 ms 18020 KB Output is correct
12 Correct 279 ms 16228 KB Output is correct
13 Correct 262 ms 13544 KB Output is correct
14 Incorrect 376 ms 16364 KB Output isn't correct
15 Incorrect 511 ms 19172 KB Output isn't correct
16 Incorrect 602 ms 21604 KB Output isn't correct
17 Incorrect 427 ms 19428 KB Output isn't correct
18 Incorrect 404 ms 19300 KB Output isn't correct
19 Incorrect 405 ms 19428 KB Output isn't correct
20 Incorrect 411 ms 19300 KB Output isn't correct