Submission #45019

# Submission time Handle Problem Language Result Execution time Memory
45019 2018-04-10T15:28:32 Z OneSubmissionMan Boat (APIO16_boat) C++11
100 / 100
870 ms 5232 KB
# include <bits/stdc++.h>

# define x first    
# define y second
# define mp make_pair
// everything go according to my plan      
# define pb push_back
# define sz(a) (int)(a.size())
# define vec vector         
// shimkenttin kyzdary, dzyn, dzyn, dzyn...
# define y1    Y_U_NO_y1
# define left  Y_U_NO_left
# define right Y_U_NO_right  

using namespace std;

typedef pair <int, int> pii; 
typedef long long ll;
typedef long double ld;

const int Mod = (int)1e9 + 7;
const int MX = 1073741822;
const ll MXLL = 4e18;
const int Sz = 1110111;
// a pinch of soul
inline void Read_rap () {
  ios_base :: sync_with_stdio(0);
  cin.tie(0); cout.tie(0);
}
inline void randomizer3000 () {
  unsigned int seed;
  asm ("rdtsc" : "=A"(seed));
  srand (seed);
}
void files (string problem) {   
  if (fopen ((problem + ".in").c_str(),"r")) {
    freopen ((problem + ".in").c_str(),"r",stdin);
    freopen ((problem + ".out").c_str(),"w",stdout);
  }
}
void localInput(const char in[] = "s") { 
  if (fopen (in, "r")) {
    freopen (in, "r", stdin);
  }
  else
    cerr << "Warning: Input file not found" << endl;
}    
const int N = 500 + 1;

int n;
    
map <int, vec<int> > add;

int dp[2*N][N], pref[2*N][N];      

void Add (int &a, int b) {  
  a += b;
  if (a >= Mod)  a -= Mod;
}      
int binpow (ll a, int b) {
  int res = 1;
  while (b) {
    if (b & 1)
      res = (res * a) % Mod;
    b >>= 1;
    a = (a * a) % Mod;
  }   
  return res;
}           
int inv (int a) {
  return binpow (a, Mod-2);
}    

void Count (int cnt[], int n, int seglen) {
  memset (cnt, 0, (n + 1) * 4);
  static int dv[N];
  for (int i = 1; i <= n; i++)
    dv[i] = inv (i);              
  for (int k = 2; k <= n; k++) {    
    ll kp = 1;
    ll lenp = 1;
    for (int p = 2; p <= min (seglen, k); p++) {
      if (p > 2) {
        kp = (kp * (k - p + 1) % Mod) * dv[p - 2] % Mod;
        lenp = (lenp * (seglen - p + 1) % Mod) * dv[p] % Mod;
      }
      else
        kp = 1, lenp = seglen * 1ll * (seglen-1) / 2 % Mod;    
      Add (cnt[k], kp * lenp % Mod);
    }    
  }             
}     
               
int main()
{
  # ifdef Local
    //localInput();
  # endif
  Read_rap();    

  cin >> n;
  for (int i = 1; i <= n; i++) {
    int a, b; cin >> a >> b;
    add[a].pb (i);     
    add[b + 1].pb (i);
  }                           

  vec <int> len (1);
  vec <vec <int> > v(1);  
  set <int> s;
  for (auto x : add)
    len.pb (x.x), v.pb (x.y);    

  for (int i = 1; i < sz(len) - 1; i++)
    len[i] = len[i + 1] - len[i];
  len.pop_back();  

  for (int i = 0; i <= n; i++)
    pref[0][i] = 1;            
 
                  
  for (int t = 1; t < sz(len); t++) { 
    int seglen = len[t];              
    for (auto y : v[t]) {           
      if (s.count (y)) s.erase (y); else s.insert (y);
    }       
    static vec<int> id;
    id = vec<int> (s.begin(), s.end());
    
    static int cnt[N];
    Count (cnt, sz(id), seglen);
    /* 
    for (int i = 1; i <= sz(id); i++)
      cout << cnt[i] << ' ';
    cout << endl;
    */
    for (int i = 0; i < sz(id); i++) {
      if (seglen > 1) { 
        for (int j = i + 1; j < sz(id); j++)
          Add (dp[t][id[j]], cnt[j - i + 1] * 1ll * pref[t - 1][id[i] - 1] % Mod);                                       
      }
      Add (dp[t][id[i]], seglen * 1ll * pref[t - 1][id[i] - 1] % Mod);   
    }     
    for (int i = 1; i <= n; i++)
      Add (dp[t][i], dp[t - 1][i]);
    pref[t][0] = 1;
    for (int i = 1; i <= n; i++)
      pref[t][i] = (pref[t][i - 1] + dp[t][i]) % Mod;
  }   
  int ans = pref[sz(len) - 1][n] - 1;
  if (ans < 0)  ans += Mod;

  cout << ans;

  return 0;
}






// Coded by Z..

Compilation message

boat.cpp: In function 'void files(std::__cxx11::string)':
boat.cpp:37:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen ((problem + ".in").c_str(),"r",stdin);
     ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
boat.cpp:38:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen ((problem + ".out").c_str(),"w",stdout);
     ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
boat.cpp: In function 'void localInput(const char*)':
boat.cpp:43:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen (in, "r", stdin);
     ~~~~~~~~^~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 9 ms 4472 KB Output is correct
2 Correct 10 ms 4472 KB Output is correct
3 Correct 9 ms 4512 KB Output is correct
4 Correct 9 ms 4716 KB Output is correct
5 Correct 9 ms 4716 KB Output is correct
6 Correct 10 ms 4716 KB Output is correct
7 Correct 9 ms 4716 KB Output is correct
8 Correct 9 ms 4716 KB Output is correct
9 Correct 9 ms 4792 KB Output is correct
10 Correct 9 ms 4796 KB Output is correct
11 Correct 9 ms 4796 KB Output is correct
12 Correct 9 ms 4796 KB Output is correct
13 Correct 9 ms 4796 KB Output is correct
14 Correct 9 ms 4796 KB Output is correct
15 Correct 9 ms 4796 KB Output is correct
16 Correct 3 ms 4796 KB Output is correct
17 Correct 4 ms 4796 KB Output is correct
18 Correct 3 ms 4796 KB Output is correct
19 Correct 4 ms 4796 KB Output is correct
20 Correct 3 ms 4796 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 4472 KB Output is correct
2 Correct 10 ms 4472 KB Output is correct
3 Correct 9 ms 4512 KB Output is correct
4 Correct 9 ms 4716 KB Output is correct
5 Correct 9 ms 4716 KB Output is correct
6 Correct 10 ms 4716 KB Output is correct
7 Correct 9 ms 4716 KB Output is correct
8 Correct 9 ms 4716 KB Output is correct
9 Correct 9 ms 4792 KB Output is correct
10 Correct 9 ms 4796 KB Output is correct
11 Correct 9 ms 4796 KB Output is correct
12 Correct 9 ms 4796 KB Output is correct
13 Correct 9 ms 4796 KB Output is correct
14 Correct 9 ms 4796 KB Output is correct
15 Correct 9 ms 4796 KB Output is correct
16 Correct 3 ms 4796 KB Output is correct
17 Correct 4 ms 4796 KB Output is correct
18 Correct 3 ms 4796 KB Output is correct
19 Correct 4 ms 4796 KB Output is correct
20 Correct 3 ms 4796 KB Output is correct
21 Correct 106 ms 4796 KB Output is correct
22 Correct 101 ms 4796 KB Output is correct
23 Correct 90 ms 4796 KB Output is correct
24 Correct 102 ms 4796 KB Output is correct
25 Correct 102 ms 4796 KB Output is correct
26 Correct 179 ms 4796 KB Output is correct
27 Correct 178 ms 4796 KB Output is correct
28 Correct 178 ms 4796 KB Output is correct
29 Correct 224 ms 4796 KB Output is correct
30 Correct 11 ms 4796 KB Output is correct
31 Correct 12 ms 4808 KB Output is correct
32 Correct 9 ms 4932 KB Output is correct
33 Correct 11 ms 4932 KB Output is correct
34 Correct 9 ms 4932 KB Output is correct
35 Correct 9 ms 4932 KB Output is correct
36 Correct 9 ms 4932 KB Output is correct
37 Correct 9 ms 4932 KB Output is correct
38 Correct 10 ms 4932 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4932 KB Output is correct
2 Correct 5 ms 4932 KB Output is correct
3 Correct 6 ms 4932 KB Output is correct
4 Correct 6 ms 4932 KB Output is correct
5 Correct 7 ms 4932 KB Output is correct
6 Correct 11 ms 4932 KB Output is correct
7 Correct 11 ms 4932 KB Output is correct
8 Correct 11 ms 4932 KB Output is correct
9 Correct 11 ms 4932 KB Output is correct
10 Correct 11 ms 4932 KB Output is correct
11 Correct 7 ms 4932 KB Output is correct
12 Correct 6 ms 4932 KB Output is correct
13 Correct 6 ms 4932 KB Output is correct
14 Correct 6 ms 4932 KB Output is correct
15 Correct 7 ms 4932 KB Output is correct
16 Correct 5 ms 4932 KB Output is correct
17 Correct 4 ms 4932 KB Output is correct
18 Correct 4 ms 4932 KB Output is correct
19 Correct 4 ms 4932 KB Output is correct
20 Correct 5 ms 4932 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 4472 KB Output is correct
2 Correct 10 ms 4472 KB Output is correct
3 Correct 9 ms 4512 KB Output is correct
4 Correct 9 ms 4716 KB Output is correct
5 Correct 9 ms 4716 KB Output is correct
6 Correct 10 ms 4716 KB Output is correct
7 Correct 9 ms 4716 KB Output is correct
8 Correct 9 ms 4716 KB Output is correct
9 Correct 9 ms 4792 KB Output is correct
10 Correct 9 ms 4796 KB Output is correct
11 Correct 9 ms 4796 KB Output is correct
12 Correct 9 ms 4796 KB Output is correct
13 Correct 9 ms 4796 KB Output is correct
14 Correct 9 ms 4796 KB Output is correct
15 Correct 9 ms 4796 KB Output is correct
16 Correct 3 ms 4796 KB Output is correct
17 Correct 4 ms 4796 KB Output is correct
18 Correct 3 ms 4796 KB Output is correct
19 Correct 4 ms 4796 KB Output is correct
20 Correct 3 ms 4796 KB Output is correct
21 Correct 106 ms 4796 KB Output is correct
22 Correct 101 ms 4796 KB Output is correct
23 Correct 90 ms 4796 KB Output is correct
24 Correct 102 ms 4796 KB Output is correct
25 Correct 102 ms 4796 KB Output is correct
26 Correct 179 ms 4796 KB Output is correct
27 Correct 178 ms 4796 KB Output is correct
28 Correct 178 ms 4796 KB Output is correct
29 Correct 224 ms 4796 KB Output is correct
30 Correct 11 ms 4796 KB Output is correct
31 Correct 12 ms 4808 KB Output is correct
32 Correct 9 ms 4932 KB Output is correct
33 Correct 11 ms 4932 KB Output is correct
34 Correct 9 ms 4932 KB Output is correct
35 Correct 9 ms 4932 KB Output is correct
36 Correct 9 ms 4932 KB Output is correct
37 Correct 9 ms 4932 KB Output is correct
38 Correct 10 ms 4932 KB Output is correct
39 Correct 6 ms 4932 KB Output is correct
40 Correct 5 ms 4932 KB Output is correct
41 Correct 6 ms 4932 KB Output is correct
42 Correct 6 ms 4932 KB Output is correct
43 Correct 7 ms 4932 KB Output is correct
44 Correct 11 ms 4932 KB Output is correct
45 Correct 11 ms 4932 KB Output is correct
46 Correct 11 ms 4932 KB Output is correct
47 Correct 11 ms 4932 KB Output is correct
48 Correct 11 ms 4932 KB Output is correct
49 Correct 7 ms 4932 KB Output is correct
50 Correct 6 ms 4932 KB Output is correct
51 Correct 6 ms 4932 KB Output is correct
52 Correct 6 ms 4932 KB Output is correct
53 Correct 7 ms 4932 KB Output is correct
54 Correct 5 ms 4932 KB Output is correct
55 Correct 4 ms 4932 KB Output is correct
56 Correct 4 ms 4932 KB Output is correct
57 Correct 4 ms 4932 KB Output is correct
58 Correct 5 ms 4932 KB Output is correct
59 Correct 375 ms 4932 KB Output is correct
60 Correct 344 ms 4932 KB Output is correct
61 Correct 322 ms 4932 KB Output is correct
62 Correct 404 ms 4984 KB Output is correct
63 Correct 357 ms 5072 KB Output is correct
64 Correct 870 ms 5224 KB Output is correct
65 Correct 851 ms 5232 KB Output is correct
66 Correct 856 ms 5232 KB Output is correct
67 Correct 868 ms 5232 KB Output is correct
68 Correct 855 ms 5232 KB Output is correct
69 Correct 319 ms 5232 KB Output is correct
70 Correct 328 ms 5232 KB Output is correct
71 Correct 332 ms 5232 KB Output is correct
72 Correct 348 ms 5232 KB Output is correct
73 Correct 352 ms 5232 KB Output is correct
74 Correct 44 ms 5232 KB Output is correct
75 Correct 43 ms 5232 KB Output is correct
76 Correct 42 ms 5232 KB Output is correct
77 Correct 49 ms 5232 KB Output is correct
78 Correct 45 ms 5232 KB Output is correct