Submission #153590

# Submission time Handle Problem Language Result Execution time Memory
153590 2019-09-14T19:06:54 Z 12tqian Remittance (JOI19_remittance) C++14
0 / 100
50 ms 8312 KB
#pragma comment(linker, "/stack:200000000")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
using namespace __gnu_pbds;
template<class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

const double PI = 4 * atan(1);

#define sz(x) (int)(x).size()
#define ll long long
#define ld long double
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define pii pair <int, int>
#define vi vector<int>
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define vpi vector<pair<int, int>>
#define vpd vector<pair<double, double>>
#define pd pair<double, double>

#define f0r(i,a) for(int i=0;i<a;i++)
#define f1r(i,a,b) for(int i=a;i<b;i++)

template<typename A, typename B> ostream& operator <<(ostream &cout, pair< A, B> const &p) {return cout << "(" << p.f << ", " << p.s << ")"; }
template<typename A> ostream& operator <<(ostream &cout, vector<A> const &v){
    cout <<"["; for(int i = 0; i<v.size(); i++) {if(i) cout <<", "; cout << v[i];} return cout << "]";
}
void fast_io(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
}
void io(string taskname){
    string fin = taskname + ".in";
    string fout = taskname + ".out";
    const char* FIN = fin.c_str();
    const char* FOUT = fout.c_str();
    freopen(FIN, "r", stdin);
    freopen(FOUT, "w", stdout);
    fast_io();
}
const int MAX = 1e6 + 6;
const ll MOD = 67280421310721;
vector<ll> a;
vector<ll> d;
ll po[MAX];
inline ll neg(ll x, ll mod){
    return mod - x;
}
inline ll fix(ll x, ll mod){
    x = x%mod;
    x = (x+mod)%mod;
    return x;
}
///use mods less than 1e9 + 7
int n;

long long mulmod(long long a,
                            long long b,
                            long long mod)
{
    long long res = 0; // Initialize result

    // Update a if it is more than
    // or equal to mod
    a %= mod;

    while (b)
    {
        // If b is odd, add a with result
        if (b & 1)
            res = (res + a) % mod;

        // Here we assume that doing 2*a
        // doesn't cause overflow
        a = (2 * a) % mod;

        b >>= 1; // b = b / 2
    }

    return res;
}

ll modInverse(ll a, ll m)
{
    ll m0 = m;
    ll y = 0, x = 1;

    if (m == 1)
      return 0;

    while (a > 1)
    {
        // q is quotient
        ll q = a / m;
        ll t = m;

        // m is remainder now, process same as
        // Euclid's algo
        m = a % m, a = t;
        t = y;

        // Update y and x
        y = x - q * y;
        x = t;
    }

    // Make x positive
    if (x < 0)
       x += m0;

    return x;
}
ll check(ll mod){
    f0r(i, MAX){
        if(i == 0) po[i] = 1;
        else{
            po[i] = mulmod(po[i-1], 2, mod);
         //   po[i] %= mod;
        }
    }
    ll rhs = 0;
    for(int i = n-1; i>= 0; i--){
           // cout << po[i] << " " << fix(d[i], mod) + mod <<   " " << d[i]  << endl;
        ll add = mulmod(po[i], fix(d[i], mod), mod);
        rhs += add;
       // cout << add << endl;
        if(rhs>=mod)rhs-=mod;
    }
   // cout << rhs - mod << endl;
    ll x = mulmod(modInverse(fix(neg(po[n]-1, mod), mod), mod),rhs, mod);
    return (x%mod);
}
vector<ll> times;
int main(){
    fast_io();
    cin >> n;
    f0r(i, n){
        ll ai, bi;
        cin >> ai >> bi;
        a.eb(ai);
        d.eb(bi - ai);
    }
   // cout << d << endl;
    ll x = check(MOD);
    times.eb(x);
    int cur = n-1;
    f0r(i, n-1){
        ll val = times[sz(times) - 1]*2 + d[cur];
        times.eb(val);
        cur--;
    }
    reverse(all(times));
    //cout << times << endl;
    f0r(i, n){
        int j = (i+1)%n;
        if(times[i] != times[j]*2 + d[j]){
            cout << "No" << endl;
            return 0;
        }
        if(fix(times[i], MOD) >= 1e12 || times[i]<0){
            cout << "No" << endl;
            return 0;
        }
    }
   // cout << times << endl;
    cout << "Yes" << endl;
    return 0;
}

Compilation message

remittance.cpp:1:0: warning: ignoring #pragma comment  [-Wunknown-pragmas]
 #pragma comment(linker, "/stack:200000000")
 
remittance.cpp: In function 'void io(std::__cxx11::string)':
remittance.cpp:50:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen(FIN, "r", stdin);
     ~~~~~~~^~~~~~~~~~~~~~~~~
remittance.cpp:51:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen(FOUT, "w", stdout);
     ~~~~~~~^~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 47 ms 8200 KB Output is correct
2 Correct 47 ms 8172 KB Output is correct
3 Correct 48 ms 8184 KB Output is correct
4 Correct 49 ms 8136 KB Output is correct
5 Correct 50 ms 8184 KB Output is correct
6 Correct 49 ms 8184 KB Output is correct
7 Correct 46 ms 8184 KB Output is correct
8 Correct 47 ms 8184 KB Output is correct
9 Correct 49 ms 8184 KB Output is correct
10 Correct 47 ms 8176 KB Output is correct
11 Correct 47 ms 8188 KB Output is correct
12 Correct 47 ms 8156 KB Output is correct
13 Correct 47 ms 8184 KB Output is correct
14 Correct 47 ms 8312 KB Output is correct
15 Correct 47 ms 8120 KB Output is correct
16 Correct 47 ms 8312 KB Output is correct
17 Correct 47 ms 8184 KB Output is correct
18 Correct 47 ms 8132 KB Output is correct
19 Correct 49 ms 8184 KB Output is correct
20 Incorrect 47 ms 8184 KB Output isn't correct
21 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 47 ms 8200 KB Output is correct
2 Correct 47 ms 8172 KB Output is correct
3 Correct 48 ms 8184 KB Output is correct
4 Correct 49 ms 8136 KB Output is correct
5 Correct 50 ms 8184 KB Output is correct
6 Correct 49 ms 8184 KB Output is correct
7 Correct 46 ms 8184 KB Output is correct
8 Correct 47 ms 8184 KB Output is correct
9 Correct 49 ms 8184 KB Output is correct
10 Correct 47 ms 8176 KB Output is correct
11 Correct 47 ms 8188 KB Output is correct
12 Correct 47 ms 8156 KB Output is correct
13 Correct 47 ms 8184 KB Output is correct
14 Correct 47 ms 8312 KB Output is correct
15 Correct 47 ms 8120 KB Output is correct
16 Correct 47 ms 8312 KB Output is correct
17 Correct 47 ms 8184 KB Output is correct
18 Correct 47 ms 8132 KB Output is correct
19 Correct 49 ms 8184 KB Output is correct
20 Incorrect 47 ms 8184 KB Output isn't correct
21 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 47 ms 8200 KB Output is correct
2 Correct 47 ms 8172 KB Output is correct
3 Correct 48 ms 8184 KB Output is correct
4 Correct 49 ms 8136 KB Output is correct
5 Correct 50 ms 8184 KB Output is correct
6 Correct 49 ms 8184 KB Output is correct
7 Correct 46 ms 8184 KB Output is correct
8 Correct 47 ms 8184 KB Output is correct
9 Correct 49 ms 8184 KB Output is correct
10 Correct 47 ms 8176 KB Output is correct
11 Correct 47 ms 8188 KB Output is correct
12 Correct 47 ms 8156 KB Output is correct
13 Correct 47 ms 8184 KB Output is correct
14 Correct 47 ms 8312 KB Output is correct
15 Correct 47 ms 8120 KB Output is correct
16 Correct 47 ms 8312 KB Output is correct
17 Correct 47 ms 8184 KB Output is correct
18 Correct 47 ms 8132 KB Output is correct
19 Correct 49 ms 8184 KB Output is correct
20 Incorrect 47 ms 8184 KB Output isn't correct
21 Halted 0 ms 0 KB -