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Submission #295240

# Submission time Handle Problem Language Result Execution time Memory
295240 2020-09-09T14:36:59 Z erd1 Remittance (JOI19_remittance) C++14
100 / 100
 340 ms 36708 KB 
#include<bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
#define int lld
#define all(x) (x).begin(), (x).end()
using namespace std;
typedef int64_t lld;
typedef pair<int, int> pii;

template<size_t MOD>
struct S{
  static int mdu(int a){ return a < 0?a+MOD:a; }
  static int mdd(int a){ return a>=MOD?a-MOD:a; }
  static int invmod(int a, int b = MOD, int s0 = 0, int s1 = 1){
    return b?invmod(b, a%b, mdu(s1-(lld)(a/b)*s0%MOD), s0):s1;
  }
  int f, s;
  S(int a){ f = 0, s = a; }
  S(int a, int b){ f = a, s = b; }
  S operator+(S a){ return {mdd(f+a.f), mdd(s+a.s)}; }
  S operator-(S a){ return {mdu(f-a.f), mdu(s-a.s)}; }
  S operator/(int b){ return b = mdu(invmod(b)), S((lld)f*b%MOD, (lld)s*b%MOD); }
  friend ostream& operator<<(ostream& out, S a){ return out << a.f << "x + " << a.s; }
  int solve(){ return (lld)s*invmod(mdu(1-f))%MOD; }
};

const int md1 = 1000000007, md2 = 1000000009, md3 = 998244353;

vector<pii> v;
signed main(){ ios::sync_with_stdio(0); cin.tie(0);
  int n;
  cin >> n;
  S<md1> curgive1 = {1, 0};
  S<md2> curgive2 = {1, 0};
  //S<md3> curgive3 = {1, 0};
  lld suma = 0, sumb = 0;
  for(int i = 0; i < n; i++){
    int a, b;
    cin >> a >> b;
    v.pb({a, b});
    suma += a, sumb += b;
    curgive1 = (curgive1+a-b)/2;
    curgive2 = (curgive2+a-b)/2;
    //curgive3 = (curgive3+a-b)/2;
    //cout << curgive1 << endl << curgive2 << endl;
    //cout << curgive1.solve() << " " << curgive2.solve() << endl;
  }
  if(!sumb && suma)return cout << "No" << endl, 0;
  assert((curgive1.f != 1) && (curgive2.f != 1));
  if(curgive1.f == 1){
    return cout << "Yes" << endl, 0;
  }
  lld ans;
  /*
  if(curgive1.f == 1){
    if(curgive2.f == 1 || curgive3.f == 1)return cout << "No" << endl, 0;
    lld ans3 = curgive3.solve(), ans2 = curgive2.solve(); // a = ((lld)(ans2-ans1)*invmod(md1, md2)%md2+md2)%md2 (mod md2)
    ans = (lld)S<md2>::mdu((ans2-ans3)*S<md2>::invmod(md3)%md2)*md3+ans3;
  } else if(curgive2.f == 1) {
    lld ans1 = curgive1.solve(), ans3 = curgive3.solve(); // a = ((lld)(ans2-ans1)*invmod(md1, md2)%md2+md2)%md2 (mod md2)
    ans = (lld)S<md3>::mdu((ans3-ans1)*S<md3>::invmod(md1)%md3)*md1+ans1;
  } else if(curgive3.f == 1)
    return cout << "No" << endl, 0;
  else*/ {
    lld ans1 = curgive1.solve(), ans2 = curgive2.solve(); // a = ((lld)(ans2-ans1)*invmod(md1, md2)%md2+md2)%md2 (mod md2)
    ans = (lld)S<md2>::mdu((ans2-ans1)*S<md2>::invmod(md1)%md2)*md1+ans1;
    assert(ans%md1 == ans1 && ans%md2 == ans2);
  }
  //cout << ans << endl;
  lld curgive = ans;
  for(int i = 0; i < n; i++){
    curgive = curgive + v[i].ff-v[i].ss;
    //cout << curgive << endl;
    if(curgive<0 || (curgive&1))return cout << "No" << endl, 0;
    curgive /= 2;
  }
  if(curgive == ans)cout << "Yes" << endl;
  else cout << "No" << endl;
}
/*
5
0 0
1 0
2 3
3 3
4 0
*/

Compilation message

remittance.cpp: In instantiation of 'static lld S<MOD>::mdd(lld) [with long unsigned int MOD = 1000000007; lld = long int]':
remittance.cpp:21:32:   required from 'S<MOD> S<MOD>::operator+(S<MOD>) [with long unsigned int MOD = 1000000007]'
remittance.cpp:43:26:   required from here
remittance.cpp:14:34: warning: comparison of integer expressions of different signedness: 'lld' {aka 'long int'} and 'long unsigned int' [-Wsign-compare]
   14 |   static int mdd(int a){ return a>=MOD?a-MOD:a; }
      |                                 ~^~~~~
remittance.cpp: In instantiation of 'static lld S<MOD>::mdd(lld) [with long unsigned int MOD = 1000000009; lld = long int]':
remittance.cpp:21:32:   required from 'S<MOD> S<MOD>::operator+(S<MOD>) [with long unsigned int MOD = 1000000009]'
remittance.cpp:44:26:   required from here
remittance.cpp:14:34: warning: comparison of integer expressions of different signedness: 'lld' {aka 'long int'} and 'long unsigned int' [-Wsign-compare]

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 288 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 0 ms 384 KB Output is correct
25 Correct 0 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 0 ms 384 KB Output is correct
31 Correct 0 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 288 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 0 ms 384 KB Output is correct
25 Correct 0 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 0 ms 384 KB Output is correct
31 Correct 0 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 0 ms 384 KB Output is correct
35 Correct 0 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 0 ms 384 KB Output is correct
40 Correct 0 ms 384 KB Output is correct
41 Correct 1 ms 384 KB Output is correct
42 Correct 1 ms 384 KB Output is correct
43 Correct 0 ms 384 KB Output is correct
44 Correct 0 ms 384 KB Output is correct
45 Correct 0 ms 384 KB Output is correct
46 Correct 1 ms 384 KB Output is correct
47 Correct 0 ms 384 KB Output is correct
48 Correct 0 ms 384 KB Output is correct
49 Correct 0 ms 384 KB Output is correct
50 Correct 1 ms 384 KB Output is correct
51 Correct 0 ms 384 KB Output is correct
52 Correct 0 ms 384 KB Output is correct
53 Correct 0 ms 256 KB Output is correct
54 Correct 0 ms 384 KB Output is correct
55 Correct 0 ms 384 KB Output is correct
56 Correct 0 ms 384 KB Output is correct
57 Correct 0 ms 384 KB Output is correct
58 Correct 0 ms 384 KB Output is correct
59 Correct 0 ms 384 KB Output is correct
60 Correct 0 ms 384 KB Output is correct
61 Correct 0 ms 384 KB Output is correct
62 Correct 0 ms 384 KB Output is correct

Subtask #3
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 288 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 0 ms 384 KB Output is correct
25 Correct 0 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 0 ms 384 KB Output is correct
31 Correct 0 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 0 ms 384 KB Output is correct
35 Correct 0 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 0 ms 384 KB Output is correct
40 Correct 0 ms 384 KB Output is correct
41 Correct 1 ms 384 KB Output is correct
42 Correct 1 ms 384 KB Output is correct
43 Correct 0 ms 384 KB Output is correct
44 Correct 0 ms 384 KB Output is correct
45 Correct 0 ms 384 KB Output is correct
46 Correct 1 ms 384 KB Output is correct
47 Correct 0 ms 384 KB Output is correct
48 Correct 0 ms 384 KB Output is correct
49 Correct 0 ms 384 KB Output is correct
50 Correct 1 ms 384 KB Output is correct
51 Correct 0 ms 384 KB Output is correct
52 Correct 0 ms 384 KB Output is correct
53 Correct 0 ms 256 KB Output is correct
54 Correct 0 ms 384 KB Output is correct
55 Correct 0 ms 384 KB Output is correct
56 Correct 0 ms 384 KB Output is correct
57 Correct 0 ms 384 KB Output is correct
58 Correct 0 ms 384 KB Output is correct
59 Correct 0 ms 384 KB Output is correct
60 Correct 0 ms 384 KB Output is correct
61 Correct 0 ms 384 KB Output is correct
62 Correct 0 ms 384 KB Output is correct
63 Correct 304 ms 16952 KB Output is correct
64 Correct 228 ms 20396 KB Output is correct
65 Correct 321 ms 35136 KB Output is correct
66 Correct 219 ms 20156 KB Output is correct
67 Correct 218 ms 21644 KB Output is correct
68 Correct 240 ms 23872 KB Output is correct
69 Correct 324 ms 35520 KB Output is correct
70 Correct 220 ms 20032 KB Output is correct
71 Correct 221 ms 21440 KB Output is correct
72 Correct 234 ms 23868 KB Output is correct
73 Correct 318 ms 35520 KB Output is correct
74 Correct 222 ms 20032 KB Output is correct
75 Correct 220 ms 21416 KB Output is correct
76 Correct 231 ms 23744 KB Output is correct
77 Correct 317 ms 35648 KB Output is correct
78 Correct 269 ms 27840 KB Output is correct
79 Correct 265 ms 27896 KB Output is correct
80 Correct 268 ms 27712 KB Output is correct
81 Correct 264 ms 27712 KB Output is correct
82 Correct 214 ms 20160 KB Output is correct
83 Correct 209 ms 20032 KB Output is correct
84 Correct 210 ms 20204 KB Output is correct
85 Correct 327 ms 36708 KB Output is correct
86 Correct 340 ms 36672 KB Output is correct
87 Correct 292 ms 29056 KB Output is correct
88 Correct 285 ms 28864 KB Output is correct