Submission #153601

# Submission time Handle Problem Language Result Execution time Memory
153601 2019-09-14T19:44:46 Z 12tqian Remittance (JOI19_remittance) C++14
100 / 100
443 ms 56640 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 = 1e9+7;
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)
{
    return (a*b)%mod;
}

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 29 ms 8188 KB Output is correct
2 Correct 29 ms 8184 KB Output is correct
3 Correct 29 ms 8184 KB Output is correct
4 Correct 29 ms 8088 KB Output is correct
5 Correct 29 ms 8184 KB Output is correct
6 Correct 30 ms 8184 KB Output is correct
7 Correct 29 ms 8184 KB Output is correct
8 Correct 29 ms 8136 KB Output is correct
9 Correct 29 ms 8208 KB Output is correct
10 Correct 29 ms 8312 KB Output is correct
11 Correct 29 ms 8188 KB Output is correct
12 Correct 29 ms 8184 KB Output is correct
13 Correct 29 ms 8184 KB Output is correct
14 Correct 28 ms 8184 KB Output is correct
15 Correct 29 ms 8184 KB Output is correct
16 Correct 29 ms 8184 KB Output is correct
17 Correct 29 ms 8184 KB Output is correct
18 Correct 29 ms 8184 KB Output is correct
19 Correct 29 ms 8184 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 372 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 29 ms 8184 KB Output is correct
25 Correct 29 ms 8184 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 29 ms 8184 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 29 ms 8184 KB Output is correct
30 Correct 29 ms 8184 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 28 ms 8312 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 29 ms 8188 KB Output is correct
2 Correct 29 ms 8184 KB Output is correct
3 Correct 29 ms 8184 KB Output is correct
4 Correct 29 ms 8088 KB Output is correct
5 Correct 29 ms 8184 KB Output is correct
6 Correct 30 ms 8184 KB Output is correct
7 Correct 29 ms 8184 KB Output is correct
8 Correct 29 ms 8136 KB Output is correct
9 Correct 29 ms 8208 KB Output is correct
10 Correct 29 ms 8312 KB Output is correct
11 Correct 29 ms 8188 KB Output is correct
12 Correct 29 ms 8184 KB Output is correct
13 Correct 29 ms 8184 KB Output is correct
14 Correct 28 ms 8184 KB Output is correct
15 Correct 29 ms 8184 KB Output is correct
16 Correct 29 ms 8184 KB Output is correct
17 Correct 29 ms 8184 KB Output is correct
18 Correct 29 ms 8184 KB Output is correct
19 Correct 29 ms 8184 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 372 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 29 ms 8184 KB Output is correct
25 Correct 29 ms 8184 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 29 ms 8184 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 29 ms 8184 KB Output is correct
30 Correct 29 ms 8184 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 28 ms 8312 KB Output is correct
33 Correct 29 ms 8184 KB Output is correct
34 Correct 29 ms 8112 KB Output is correct
35 Correct 29 ms 8156 KB Output is correct
36 Correct 29 ms 8196 KB Output is correct
37 Correct 29 ms 8184 KB Output is correct
38 Correct 29 ms 8184 KB Output is correct
39 Correct 29 ms 8184 KB Output is correct
40 Correct 29 ms 8184 KB Output is correct
41 Correct 29 ms 8132 KB Output is correct
42 Correct 30 ms 8140 KB Output is correct
43 Correct 29 ms 8184 KB Output is correct
44 Correct 29 ms 8184 KB Output is correct
45 Correct 29 ms 8184 KB Output is correct
46 Correct 30 ms 8204 KB Output is correct
47 Correct 29 ms 8112 KB Output is correct
48 Correct 29 ms 8208 KB Output is correct
49 Correct 29 ms 8184 KB Output is correct
50 Correct 2 ms 376 KB Output is correct
51 Correct 2 ms 504 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 2 ms 380 KB Output is correct
54 Correct 29 ms 8184 KB Output is correct
55 Correct 29 ms 8200 KB Output is correct
56 Correct 2 ms 376 KB Output is correct
57 Correct 29 ms 8108 KB Output is correct
58 Correct 2 ms 376 KB Output is correct
59 Correct 30 ms 8156 KB Output is correct
60 Correct 29 ms 8184 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 29 ms 8184 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 29 ms 8188 KB Output is correct
2 Correct 29 ms 8184 KB Output is correct
3 Correct 29 ms 8184 KB Output is correct
4 Correct 29 ms 8088 KB Output is correct
5 Correct 29 ms 8184 KB Output is correct
6 Correct 30 ms 8184 KB Output is correct
7 Correct 29 ms 8184 KB Output is correct
8 Correct 29 ms 8136 KB Output is correct
9 Correct 29 ms 8208 KB Output is correct
10 Correct 29 ms 8312 KB Output is correct
11 Correct 29 ms 8188 KB Output is correct
12 Correct 29 ms 8184 KB Output is correct
13 Correct 29 ms 8184 KB Output is correct
14 Correct 28 ms 8184 KB Output is correct
15 Correct 29 ms 8184 KB Output is correct
16 Correct 29 ms 8184 KB Output is correct
17 Correct 29 ms 8184 KB Output is correct
18 Correct 29 ms 8184 KB Output is correct
19 Correct 29 ms 8184 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 372 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 29 ms 8184 KB Output is correct
25 Correct 29 ms 8184 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 29 ms 8184 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 29 ms 8184 KB Output is correct
30 Correct 29 ms 8184 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 28 ms 8312 KB Output is correct
33 Correct 29 ms 8184 KB Output is correct
34 Correct 29 ms 8112 KB Output is correct
35 Correct 29 ms 8156 KB Output is correct
36 Correct 29 ms 8196 KB Output is correct
37 Correct 29 ms 8184 KB Output is correct
38 Correct 29 ms 8184 KB Output is correct
39 Correct 29 ms 8184 KB Output is correct
40 Correct 29 ms 8184 KB Output is correct
41 Correct 29 ms 8132 KB Output is correct
42 Correct 30 ms 8140 KB Output is correct
43 Correct 29 ms 8184 KB Output is correct
44 Correct 29 ms 8184 KB Output is correct
45 Correct 29 ms 8184 KB Output is correct
46 Correct 30 ms 8204 KB Output is correct
47 Correct 29 ms 8112 KB Output is correct
48 Correct 29 ms 8208 KB Output is correct
49 Correct 29 ms 8184 KB Output is correct
50 Correct 2 ms 376 KB Output is correct
51 Correct 2 ms 504 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 2 ms 380 KB Output is correct
54 Correct 29 ms 8184 KB Output is correct
55 Correct 29 ms 8200 KB Output is correct
56 Correct 2 ms 376 KB Output is correct
57 Correct 29 ms 8108 KB Output is correct
58 Correct 2 ms 376 KB Output is correct
59 Correct 30 ms 8156 KB Output is correct
60 Correct 29 ms 8184 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 29 ms 8184 KB Output is correct
63 Correct 397 ms 36988 KB Output is correct
64 Correct 265 ms 40048 KB Output is correct
65 Correct 411 ms 55148 KB Output is correct
66 Correct 257 ms 40156 KB Output is correct
67 Correct 275 ms 41548 KB Output is correct
68 Correct 290 ms 43824 KB Output is correct
69 Correct 403 ms 55608 KB Output is correct
70 Correct 255 ms 40060 KB Output is correct
71 Correct 270 ms 41408 KB Output is correct
72 Correct 300 ms 43948 KB Output is correct
73 Correct 407 ms 55568 KB Output is correct
74 Correct 264 ms 39980 KB Output is correct
75 Correct 269 ms 41392 KB Output is correct
76 Correct 288 ms 43956 KB Output is correct
77 Correct 405 ms 55476 KB Output is correct
78 Correct 241 ms 27852 KB Output is correct
79 Correct 235 ms 27876 KB Output is correct
80 Correct 330 ms 47860 KB Output is correct
81 Correct 346 ms 47816 KB Output is correct
82 Correct 158 ms 20272 KB Output is correct
83 Correct 242 ms 40032 KB Output is correct
84 Correct 161 ms 20132 KB Output is correct
85 Correct 438 ms 56640 KB Output is correct
86 Correct 443 ms 56524 KB Output is correct
87 Correct 242 ms 29120 KB Output is correct
88 Correct 333 ms 48804 KB Output is correct