Submission #110304

# Submission time Handle Problem Language Result Execution time Memory
110304 2019-05-10T15:32:34 Z tatyam Gap (APIO16_gap) C++17
100 / 100
95 ms 4200 KB
#ifdef EVAL
#include "gap.h"
#endif
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
using ld=long double;
using ull=unsigned long long;
using uint=unsigned int;
using pcc=pair<char,char>;
using pii=pair<int,int>;
using pll=pair<ll,ll>;
using pdd=pair<double,double>;
using tuplis=pair<ll,pll>;
using tuplis2=pair<pll,ll>;
template<class T> using pq=priority_queue<T,vector<T>,greater<T>>;
const ll LINF=0x1fffffffffffffff;
const int INF=0x3fffffff;
const ll MOD=1000000007;
const ll MODD=998244353;
const ld DINF=numeric_limits<ld>::infinity();
const ld EPS=1e-9;
const vector<ll>four{0,1,0,-1,0};
#define _overload4(_1,_2,_3,_4,name,...) name
#define _overload3(_1,_2,_3,name,...) name
#define _rep1(n) for(ll i=0;i<n;++i)
#define _rep2(i,n) for(ll i=0;i<n;++i)
#define _rep3(i,a,b) for(ll i=a;i<b;++i)
#define _rep4(i,a,b,c) for(ll i=a;i<b;i+=c)
#define rep(...) _overload4(__VA_ARGS__,_rep4,_rep3,_rep2,_rep1)(__VA_ARGS__)
#define _rrep1(n) for(ll i=n-1;i>=0;i--)
#define _rrep2(i,n) for(ll i=n-1;i>=0;i--)
#define _rrep3(i,a,b) for(ll i=b-1;i>=a;i--)
#define _rrep4(i,a,b,c) for(ll i=a+(b-a-1)/c*c;i>=a;i-=c)
#define rrep(...) _overload4(__VA_ARGS__,_rrep4,_rrep3,_rrep2,_rrep1)(__VA_ARGS__)
#define each(i,a) for(auto &i:a)
#define sum(...) accumulate(range(__VA_ARGS__),0LL)
#define dsum(...) accumulate(range(__VA_ARGS__),double(0))
#define _range(i) (i).begin(),(i).end()
#define _range2(i,k) (i).begin(),(i).begin()+k
#define _range3(i,a,b) (i).begin()+a,(i).begin()+b
#define range(...) _overload3(__VA_ARGS__,_range3,_range2,_range)(__VA_ARGS__)
#define _rrange(i) (i).rbegin(),(i).rend()
#define _rrange2(i,k) (i).rbegin(),(i).rbegin()+k
#define _rrange3(i,a,b) (i).rbegin()+a,(i).rbegin()+b
#define rrange(...) _overload3(__VA_ARGS__,_rrange3,_rrange2,_rrange)(__VA_ARGS__)
#define elif else if
#define unless(a) if(!(a))
#define mp make_pair
#define mt make_tuple
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;in(__VA_ARGS__)
#define vec(type,name,...) vector<type> name(__VA_ARGS__)
#define VEC(type,name,size) vector<type> name(size);in(name)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define VV(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__));in(name)
#define vvv(type,name,h,w,...) vector<vector<vector<type>>>name(h,vector<vector<type>>(w,vector<type>(__VA_ARGS__)))
inline constexpr ll gcd(ll a,ll b){if(!a||!b)return 0;while(b){ll c=b;b=a%b;a=c;}return a;}
inline constexpr ll lcm(ll a,ll b){if(!a||!b)return 0;return a*b/gcd(a,b);}
template<class T> inline constexpr T min(vector<T> &v){return *min_element(range(v));}
inline char min(string &v){return *min_element(range(v));}
template<class T> inline constexpr T max(vector<T> &v){return *max_element(range(v));}
inline char max(string &v){return *max_element(range(v));}
inline constexpr ll intpow(ll a,ll b){ll ans=1;for(ll i=1;b;i*=2){if(b&i){b^=i;ans*=a;}a*=a;}return ans;}
inline constexpr ll modpow(ll a,ll b,ll mod = MOD){ll ans=1;for(ll i=1;b;i*=2){if(b&i){b^=i;ans*=a;ans%=mod;}a*=a;a%=mod;}return ans;}
template<typename T>
inline constexpr bool update_min(T &mn,const T &cnt){if(mn>cnt){mn=cnt;return 1;}else return 0;}
template<typename T>
inline constexpr bool update_max(T &mx,const T &cnt){if(mx<cnt){mx=cnt;return 1;}else return 0;}
inline int scan(){ return getchar(); }
inline void scan(int &a){ scanf("%d", &a); }
inline void scan(unsigned &a){ scanf("%u", &a); }
inline void scan(long &a){ scanf("%ld", &a); }
inline void scan(long long &a){ scanf("%lld", &a); }
inline void scan(unsigned long long &a){ scanf("%llu", &a); }
inline void scan(char &a){ cin >> a; }
inline void scan(float &a){ scanf("%f", &a); }
inline void scan(double &a){ scanf("%lf", &a); }
inline void scan(long double &a){ scanf("%Lf", &a); }
inline void scan(vector<bool> &vec){ for(unsigned i = 0; i < vec.size(); i++) { int a; scan(a); vec[i] = a; } }
inline void scan(string &a){ cin >> a; }
template<class T> inline void scan(vector<T> &vec);
template<class T, size_t size> inline void scan(array<T, size> &vec);
template<class T, class L> inline void scan(pair<T, L> &p);
template<class T, size_t size> inline void scan(T (&vec)[size]);
template<class T> inline void scan(vector<T> &vec){ for(auto &i : vec) scan(i); }
template<class T, size_t size> inline void scan(array<T, size> &vec){ for(auto &i : vec) scan(i); }
template<class T, class L> inline void scan(pair<T, L> &p){ scan(p.first); scan(p.second); }
template<class T, size_t size> inline void scan(T (&vec)[size]){ for(auto &i : vec) scan(i); }
template<class T> inline void scan(T &a){ cin>>a; }
inline void in(){}
template <class Head, class... Tail> inline void in(Head &head, Tail&... tail){ scan(head); in(tail...); }
inline void print(){ putchar('\n'); }
inline void print(const bool &a){ printf("%d", a); }
inline void print(const int &a){ printf("%d", a); }
inline void print(const unsigned &a){ printf("%u", a); }
inline void print(const long &a){ printf("%ld", a); }
inline void print(const long long &a){ printf("%lld", a); }
inline void print(const unsigned long long &a){ printf("%llu", a); }
inline void print(const char &a){ printf("%c", a); }
inline void print(const char a[]){ printf("%s", a); }
inline void print(const float &a){ printf("%.10f", a); }
inline void print(const double &a){ printf("%.10f", a); }
inline void print(const long double &a){ printf("%.10Lf", a); }
template<class T> void print(const vector<T> &vec);
template<class T, size_t size> void print(const array<T, size> &vec);
template<class T, class L> void print(const pair<T, L> &p);
template<class T, size_t size> inline void print(const T (&vec)[size]);
template<class T> void print(const vector<T> &vec){ print(vec[0]); for(auto i = vec.begin(); ++i != vec.end(); ){ putchar(' '); print(*i); } }
template<class T, size_t size> void print(const array<T, size> &vec){ print(vec[0]); for(auto i = vec.begin(); ++i != vec.end(); ){ putchar(' '); print(*i); } }
template<class T, class L> void print(const pair<T, L> &p){ print(p.first); putchar(' '); print(p.second); }
template<class T, size_t size> inline void print(const T (&vec)[size]){ print(vec[0]); for(auto i = vec; ++i != end(vec); ){ putchar(' '); print(*i); } }
template<class T> inline void print(const T &a){ cout << a; }
inline int out(){ putchar('\n'); return 0; }
template<class T> inline int out(const T &t){ print(t); putchar('\n'); return 0; }
template<class Head, class... Tail> inline int out(const Head &head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; }
template <class T> inline void err(T t){cerr<<t<<'\n';}
inline void err(){cerr<<'\n';}
inline int yes(const bool &i){return out(i?"yes":"no");}
inline int Yes(const bool &i){return out(i?"Yes":"No");}
inline int YES(const bool &i){return out(i?"YES":"NO");}
inline int Yay(const bool &i){return out(i?"Yay!":":(");}
inline int Possible(const bool &i){return out(i?"Possible":"Impossible");}
inline int POSSIBLE(const bool &i){return out(i?"POSSIBLE":"IMPOSSIBLE");}
inline void Case(ll i){printf("Case #%lld: ",i);}

#ifndef EVAL
set<ll>s;
set<ll,greater<ll>>s2;
void MinMax(ll a,ll b,ll *c,ll *d){
    assert(a<=b);
    *c=*s.lower_bound(a);
    if(*c>b){
        *c=-1;
        *d=-1;
        return;
    }
    *d=*s2.lower_bound(b);
}
#endif
ll findGap(ll n){
    vector<ll>a;
    ll min=-1,max=intpow(10,18)+1;
    while(n>0){
        MinMax(min+1,max-1,&min,&max);
        n-=2;
        a.push_back(min);
        a.push_back(max);
    }
    sort(range(a));
    ll ans=0;
    rep(ll(a.size())-1)update_max(ans,a[i+1]-a[i]);
    return ans;
}
ll findGap(int t,int n){
    if(t==1)return findGap(n);
    ll min,max;
    MinMax(0ll,intpow(10,18),&min,&max);
    vector<ll>a={min,max},at={min+1};
    ll d=(max-min-1)/(n-1);
    rep(n-1)at.push_back(at.back()+d);
    d=max-at.back();
    rep(i,1,d+1)at[at.size()-i]+=d+1-i;
    rep(n-1){
        MinMax(at[i],at[i+1]-1,&min,&max);
        if(min!=-1){
            a.push_back(min);
            a.push_back(max);
        }
    }
    sort(range(a));
    ll ans=0;
    rep(ll(a.size())-1)update_max(ans,a[i+1]-a[i]);
    return ans;
}
#ifndef EVAL
int main(){
    random_device rr;
    mt19937 rand(rr());
    LL(n);
    while(s.size()!=n){
        ll a=rand();
        s.insert(a);
        s2.insert(a);
    }
    s.insert(LINF);
    s2.insert(-LINF);
    vector<ll>a(n);
    auto p=s.begin();
    rep(n)a[i]=*(p++);
    ll ans=0;
    rep(n-1)update_max(ans,a[i+1]-a[i]);
    out(findGap(2,n));
    out(ans);
    assert(findGap(2,n)==ans);
}
#endif
# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 3 ms 384 KB Output is correct
8 Correct 4 ms 256 KB Output is correct
9 Correct 3 ms 384 KB Output is correct
10 Correct 3 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 3 ms 384 KB Output is correct
15 Correct 3 ms 384 KB Output is correct
16 Correct 16 ms 896 KB Output is correct
17 Correct 19 ms 896 KB Output is correct
18 Correct 16 ms 896 KB Output is correct
19 Correct 24 ms 1024 KB Output is correct
20 Correct 13 ms 896 KB Output is correct
21 Correct 62 ms 2288 KB Output is correct
22 Correct 58 ms 2220 KB Output is correct
23 Correct 70 ms 2288 KB Output is correct
24 Correct 57 ms 2288 KB Output is correct
25 Correct 47 ms 2288 KB Output is correct
26 Correct 53 ms 2288 KB Output is correct
27 Correct 61 ms 2260 KB Output is correct
28 Correct 54 ms 2288 KB Output is correct
29 Correct 59 ms 2288 KB Output is correct
30 Correct 45 ms 2288 KB Output is correct
31 Correct 2 ms 384 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 3 ms 412 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 3 ms 384 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 3 ms 384 KB Output is correct
11 Correct 3 ms 384 KB Output is correct
12 Correct 3 ms 384 KB Output is correct
13 Correct 3 ms 384 KB Output is correct
14 Correct 3 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 19 ms 1148 KB Output is correct
17 Correct 20 ms 1148 KB Output is correct
18 Correct 20 ms 1148 KB Output is correct
19 Correct 18 ms 1148 KB Output is correct
20 Correct 10 ms 896 KB Output is correct
21 Correct 91 ms 3436 KB Output is correct
22 Correct 70 ms 3436 KB Output is correct
23 Correct 71 ms 3480 KB Output is correct
24 Correct 80 ms 3560 KB Output is correct
25 Correct 80 ms 4200 KB Output is correct
26 Correct 75 ms 3476 KB Output is correct
27 Correct 95 ms 3432 KB Output is correct
28 Correct 80 ms 3560 KB Output is correct
29 Correct 72 ms 3436 KB Output is correct
30 Correct 35 ms 2296 KB Output is correct
31 Correct 3 ms 384 KB Output is correct
32 Correct 2 ms 384 KB Output is correct