Submission #887053

# Submission time Handle Problem Language Result Execution time Memory
887053 2023-12-13T14:42:43 Z nnhzzz Zoltan (COCI16_zoltan) C++14
140 / 140
86 ms 5080 KB
/* [Author: Nguyen Ngoc Hung] - From THPT Ngo Gia Tu with Love */

#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <locale>
#include <map>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <unordered_set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <utility>
#include <valarray>
#include <vector>
#include <cstring>
#include <unordered_map>
#include <cmath>
#include <array>
#include <cassert>
#include <random>
#include <chrono>

using namespace std;

#define        __nnhzzz__  signed main()
#define          BIT(i,j)  (((i)>>(j))&1LL)
#define           MASK(i)  (1LL<<(i))
#define            ALL(x)  (x).begin(),(x).end()
#define             SZ(x)  (int)(x).size()
#define                fi  first
#define                se  second
#define                ll  long long
#define                ld  long double
#define                vi  vector<int>
#define               vvi  vector<vi>
#define              vvvi  vector<vvi>
#define               pii  pair<int,int>
#define              vpii  vector<pii>
#define             vvpii  vector<vpii>
#define REPDIS(i,be,en,j)  for(int i = (be); i<=(en); i+=j)
#define     REPD(i,be,en)  for(int i = (be); i>=(en); i--)
#define      REP(i,be,en)  for(int i = (be); i<=(en); i++)
#define              endl  "\n"
#define                MP  make_pair
// #define               int  ll

//-----------------------------------------------------------------------------------------------//
int readInt(){
    char c;
    do{ c = getchar(); }while(c!='-' && !isdigit(c));
    bool neg = (c=='-');
    int res = neg?0:c-'0';
    while(isdigit(c=getchar())) res = (res<<3)+(res<<1)+(c-'0');
    return neg?-res:res;
}
//------------------------------------------------------------------------------------------------//
const  ll   LINF = 1e18;
const int    INF = 1e9;
const int    LOG = 20;
const int   MAXN = 5e5+7;
const int      N = 1e2+3;
const int    MOD = 1e9+7;
const int   BASE = 1e5;
const  ld    EPS = 1e-9;
const  ld     PI = acos(-1);
const int OFFSET = 1e3;
//------------------------------------------------------------------------------------------------//
template<typename T1, typename T2> bool mini(T1 &a, T2 b){if(a>b){a=b;return true;}return false;}
template<typename T1, typename T2> bool maxi(T1 &a, T2 b){if(a<b){a=b;return true;}return false;}
template<typename T> T gcd(T a, T b) { while(b) { a %= b; swap(a,b); } return a; }
template<typename T> T lcm(T a, T b) { return a/gcd(a,b)*b; }
//------------------------------------------------------------------------------------------------//

/*
----------------------------------------------------------------
    END OF TEMPLATE
----------------------------------------------------------------
    Nguyen Ngoc Hung - nnhzzz
    Training for VOI24 gold medal
----------------------------------------------------------------
*/

struct fenwick_tree{
    vpii f;
    int n;

    pii combine(const pii &u, const pii &v){
        if(u.fi<v.fi) return v;
        if(u.fi>v.fi) return u;
        return MP(u.fi,(u.se+v.se)%MOD);
    }

    void update(int id, const pii &val){
        for(; id<=n; id+=id&-id) f[id] = combine(f[id],val);
    }

    pii get(int id){
        pii res = MP(0,1);
        for(; id>0; id-=id&-id) res = combine(res,f[id]);
        ++res.fi;
        return res;
    }

    fenwick_tree(int _n):n(_n){
        f.assign(n+3,MP(0,0));
    }
};

int POW(int a, int b){
    int res = 1;
    while(b>0){
        if(b&1) res = 1LL*res*a%MOD;
        a = 1LL*a*a%MOD;
        b >>= 1;
    }
    return res;
}

int a[MAXN];

void solve(){
    int cnt = 0,res = 0,n = readInt();
    vi cur;
    REP(i,1,n){
        a[i] = readInt();
        cur.push_back(a[i]);
    }
    sort(ALL(cur)); cur.resize(unique(ALL(cur))-cur.begin());
    fenwick_tree f(n+1),g(n+1);
    REPD(i,n,1){
        a[i] = upper_bound(ALL(cur),a[i])-cur.begin();
        pii dec = f.get(a[i]-1);
        pii asc = g.get(n-a[i]);
        int now = dec.fi+asc.fi-1;
        if(maxi(res,now)) cnt = 1LL*dec.se*asc.se%MOD;
        else if(now==res) cnt = (cnt+1LL*dec.se*asc.se%MOD)%MOD;
        f.update(a[i],dec);
        g.update(n-a[i]+1,asc);
    }
    cout << res << " " << 1LL*cnt*POW(2,n-res)%MOD;
}

__nnhzzz__{
    ios::sync_with_stdio(0);
    // cin.tie(0); cout.tie(0);
    #define task "test"
    if(fopen(task".inp","r")){
        freopen(task".inp","r",stdin);
        freopen(task".out","w",stdout);
    }
    #define task1 "nnhzzz"
    if(fopen(task1".inp","r")){
        freopen(task1".inp","r",stdin);
        freopen(task1".out","w",stdout);
    }

    int test = 1;

    while(test--){
      solve();
    }
    cerr << "\nTime elapsed: " << 1000*clock()/CLOCKS_PER_SEC << "ms\n";
    return 0;
}

/**  /\_/\
 *  (= ._.)
 *  / >TL \>AC
**/

Compilation message

zoltan.cpp: In function 'int main()':
zoltan.cpp:166:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  166 |         freopen(task".inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
zoltan.cpp:167:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  167 |         freopen(task".out","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
zoltan.cpp:171:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  171 |         freopen(task1".inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
zoltan.cpp:172:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  172 |         freopen(task1".out","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 396 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 43 ms 4308 KB Output is correct
12 Correct 38 ms 3796 KB Output is correct
13 Correct 35 ms 3624 KB Output is correct
14 Correct 56 ms 3800 KB Output is correct
15 Correct 70 ms 4568 KB Output is correct
16 Correct 86 ms 5080 KB Output is correct
17 Correct 53 ms 5076 KB Output is correct
18 Correct 51 ms 5080 KB Output is correct
19 Correct 51 ms 5080 KB Output is correct
20 Correct 58 ms 5080 KB Output is correct