Submission #153599

# Submission time Handle Problem Language Result Execution time Memory
153599 2019-09-14T19:43:55 Z 12tqian Remittance (JOI19_remittance) C++14
55 / 100
1000 ms 43440 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 good = 0;
void upd(int id, int val){
    if(a[id]>= 2){
        if(a[id] + val<2){
            good--;
        }
    }
    else{
        if(a[id] + val >= 2) good++;
    }
    a[id] += val;
}
int main(){
    fast_io();
    cin >> n;
    int cnt = 0;
    f0r(i, n){
        ll ai, bi;
        cin >> ai >> bi;
        a.eb(ai);
        cnt += (bi == 0);
        d.eb(bi - ai);
    }
    if(cnt == n){
        cnt = 0;
        f0r(i, n) cnt += (a[i] == 0);
        if(cnt == n)cout << "Yes" << endl;
        else cout << "No" <<endl;
        return 0;
    }
   // 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 << "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 49 ms 8184 KB Output is correct
2 Correct 47 ms 8188 KB Output is correct
3 Correct 49 ms 8184 KB Output is correct
4 Correct 46 ms 8184 KB Output is correct
5 Correct 46 ms 8184 KB Output is correct
6 Correct 47 ms 8184 KB Output is correct
7 Correct 47 ms 8184 KB Output is correct
8 Correct 53 ms 8184 KB Output is correct
9 Correct 50 ms 8168 KB Output is correct
10 Correct 47 ms 8184 KB Output is correct
11 Correct 46 ms 8184 KB Output is correct
12 Correct 47 ms 8168 KB Output is correct
13 Correct 46 ms 8184 KB Output is correct
14 Correct 49 ms 8148 KB Output is correct
15 Correct 47 ms 8168 KB Output is correct
16 Correct 49 ms 8156 KB Output is correct
17 Correct 47 ms 8188 KB Output is correct
18 Correct 47 ms 8200 KB Output is correct
19 Correct 47 ms 8184 KB Output is correct
20 Correct 3 ms 376 KB Output is correct
21 Correct 3 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 48 ms 8216 KB Output is correct
25 Correct 47 ms 8188 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 47 ms 8212 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 47 ms 8184 KB Output is correct
30 Correct 47 ms 8156 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 47 ms 8156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 49 ms 8184 KB Output is correct
2 Correct 47 ms 8188 KB Output is correct
3 Correct 49 ms 8184 KB Output is correct
4 Correct 46 ms 8184 KB Output is correct
5 Correct 46 ms 8184 KB Output is correct
6 Correct 47 ms 8184 KB Output is correct
7 Correct 47 ms 8184 KB Output is correct
8 Correct 53 ms 8184 KB Output is correct
9 Correct 50 ms 8168 KB Output is correct
10 Correct 47 ms 8184 KB Output is correct
11 Correct 46 ms 8184 KB Output is correct
12 Correct 47 ms 8168 KB Output is correct
13 Correct 46 ms 8184 KB Output is correct
14 Correct 49 ms 8148 KB Output is correct
15 Correct 47 ms 8168 KB Output is correct
16 Correct 49 ms 8156 KB Output is correct
17 Correct 47 ms 8188 KB Output is correct
18 Correct 47 ms 8200 KB Output is correct
19 Correct 47 ms 8184 KB Output is correct
20 Correct 3 ms 376 KB Output is correct
21 Correct 3 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 48 ms 8216 KB Output is correct
25 Correct 47 ms 8188 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 47 ms 8212 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 47 ms 8184 KB Output is correct
30 Correct 47 ms 8156 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 47 ms 8156 KB Output is correct
33 Correct 47 ms 8184 KB Output is correct
34 Correct 47 ms 8176 KB Output is correct
35 Correct 47 ms 8192 KB Output is correct
36 Correct 46 ms 8180 KB Output is correct
37 Correct 47 ms 8196 KB Output is correct
38 Correct 47 ms 8184 KB Output is correct
39 Correct 47 ms 8088 KB Output is correct
40 Correct 46 ms 8184 KB Output is correct
41 Correct 47 ms 8184 KB Output is correct
42 Correct 47 ms 8160 KB Output is correct
43 Correct 46 ms 8184 KB Output is correct
44 Correct 46 ms 8156 KB Output is correct
45 Correct 47 ms 8156 KB Output is correct
46 Correct 46 ms 8184 KB Output is correct
47 Correct 46 ms 8184 KB Output is correct
48 Correct 50 ms 8184 KB Output is correct
49 Correct 46 ms 8148 KB Output is correct
50 Correct 3 ms 376 KB Output is correct
51 Correct 2 ms 376 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 2 ms 380 KB Output is correct
54 Correct 47 ms 8244 KB Output is correct
55 Correct 46 ms 8184 KB Output is correct
56 Correct 2 ms 376 KB Output is correct
57 Correct 47 ms 8312 KB Output is correct
58 Correct 2 ms 376 KB Output is correct
59 Correct 46 ms 8188 KB Output is correct
60 Correct 46 ms 8184 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 47 ms 8236 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 49 ms 8184 KB Output is correct
2 Correct 47 ms 8188 KB Output is correct
3 Correct 49 ms 8184 KB Output is correct
4 Correct 46 ms 8184 KB Output is correct
5 Correct 46 ms 8184 KB Output is correct
6 Correct 47 ms 8184 KB Output is correct
7 Correct 47 ms 8184 KB Output is correct
8 Correct 53 ms 8184 KB Output is correct
9 Correct 50 ms 8168 KB Output is correct
10 Correct 47 ms 8184 KB Output is correct
11 Correct 46 ms 8184 KB Output is correct
12 Correct 47 ms 8168 KB Output is correct
13 Correct 46 ms 8184 KB Output is correct
14 Correct 49 ms 8148 KB Output is correct
15 Correct 47 ms 8168 KB Output is correct
16 Correct 49 ms 8156 KB Output is correct
17 Correct 47 ms 8188 KB Output is correct
18 Correct 47 ms 8200 KB Output is correct
19 Correct 47 ms 8184 KB Output is correct
20 Correct 3 ms 376 KB Output is correct
21 Correct 3 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 48 ms 8216 KB Output is correct
25 Correct 47 ms 8188 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 47 ms 8212 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 47 ms 8184 KB Output is correct
30 Correct 47 ms 8156 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 47 ms 8156 KB Output is correct
33 Correct 47 ms 8184 KB Output is correct
34 Correct 47 ms 8176 KB Output is correct
35 Correct 47 ms 8192 KB Output is correct
36 Correct 46 ms 8180 KB Output is correct
37 Correct 47 ms 8196 KB Output is correct
38 Correct 47 ms 8184 KB Output is correct
39 Correct 47 ms 8088 KB Output is correct
40 Correct 46 ms 8184 KB Output is correct
41 Correct 47 ms 8184 KB Output is correct
42 Correct 47 ms 8160 KB Output is correct
43 Correct 46 ms 8184 KB Output is correct
44 Correct 46 ms 8156 KB Output is correct
45 Correct 47 ms 8156 KB Output is correct
46 Correct 46 ms 8184 KB Output is correct
47 Correct 46 ms 8184 KB Output is correct
48 Correct 50 ms 8184 KB Output is correct
49 Correct 46 ms 8148 KB Output is correct
50 Correct 3 ms 376 KB Output is correct
51 Correct 2 ms 376 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 2 ms 380 KB Output is correct
54 Correct 47 ms 8244 KB Output is correct
55 Correct 46 ms 8184 KB Output is correct
56 Correct 2 ms 376 KB Output is correct
57 Correct 47 ms 8312 KB Output is correct
58 Correct 2 ms 376 KB Output is correct
59 Correct 46 ms 8188 KB Output is correct
60 Correct 46 ms 8184 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 47 ms 8236 KB Output is correct
63 Execution timed out 1050 ms 43440 KB Time limit exceeded
64 Halted 0 ms 0 KB -