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Submission #699577

# Submission time Handle Problem Language Result Execution time Memory
699577 2023-02-17T12:27:53 Z Abrar_Al_Samit Boat (APIO16_boat) C++17
58 / 100
 2000 ms 25388 KB 
#include<bits/stdc++.h>
using namespace std;

const int nax = 503;
const int mod = 1e9 + 7;

vector<int>ind[nax*2];
int a[nax], b[nax];
int n, m;
int dp[nax*2][nax];
int inv[nax];
vector<int>imp;

int add(int a, int b) {
  a += b;
  if(a>=mod) a -= mod;
  return a;
}
int mul(int a, int b) {
  return (a * 1LL * b) % mod;
}
int quickpow(int a, int b) {
  int ret = 1;
  while(b) {
    if(b&1) ret = mul(ret, a);
    a = mul(a, a);
    b >>= 1;
  }
  return ret;
}

int get(int x) {
  int &ret = inv[x];
  if(ret==-1) {
    ret = quickpow(x, mod-2);
  }
  return ret;
}
unordered_map<long long,int>table;
int C(int n, int r) {
  int& ret = table[n * 1000LL + r];
  if(ret==0) {
    ret = 1;
    for(int i=n-r+1; i<=n; ++i) {
      ret = mul(ret, i);
    }
    for(int i=1; i<=r; ++i) {
      ret = mul(ret, get(i));
    }
  }
  return ret;
}

unordered_map<long long,int>andp;
int get(int len, int op) {
  int &ret = andp[len * 1000LL + op];
  if(ret==0) {
    for(int take=0; take<=min(op, len-1); ++take) {
      ret = add(ret, mul(C(op, take), C(len, take+1)));
    }
  }
  return ret;
}
int solve(int i, int prv) {
  if(i==m-1) return prv>0;
  int &ret = dp[i][prv];
  if(ret!=-1) return ret;
  ret = 0;

  ret = solve(i+1, prv);
  int len = imp[i+1]-imp[i];

  for(int mx=0, cur_op=0; mx<ind[i].size(); ++mx) {
    if(ind[i][mx]<=prv) continue;

    int cur = mul(solve(i+1, ind[i][mx]), get(len, cur_op));
    cur_op++;
    ret = add(ret, cur);
  }
  return ret;
}
void PlayGround() {
  cin>>n;
  set<int>pts;
  for(int i=1; i<=n; ++i) {
    cin>>a[i]>>b[i];
    pts.insert(a[i]);
    pts.insert(b[i]+1);
  }

  for(int x : pts) {
    imp.push_back(x);
  } 
  m = imp.size();
  for(int i=0; i<m; ++i) {
    for(int j=1; j<=n; ++j) {
      if(imp[i]>=a[j] && imp[i]<=b[j]) {
        ind[i].push_back(j);
      }
    }
  }
  memset(inv, -1, sizeof inv);
  memset(dp, -1, sizeof dp);
  cout<<solve(0, 0)<<'\n';


  // cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
}
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  PlayGround();
  return 0;
}

Compilation message

boat.cpp: In function 'int solve(int, int)':
boat.cpp:73:29: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |   for(int mx=0, cur_op=0; mx<ind[i].size(); ++mx) {
      |                           ~~^~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2388 KB Output is correct
2 Correct 7 ms 2388 KB Output is correct
3 Correct 6 ms 2388 KB Output is correct
4 Correct 6 ms 2504 KB Output is correct
5 Correct 6 ms 2468 KB Output is correct
6 Correct 8 ms 2500 KB Output is correct
7 Correct 7 ms 2504 KB Output is correct
8 Correct 7 ms 2504 KB Output is correct
9 Correct 7 ms 2388 KB Output is correct
10 Correct 7 ms 2388 KB Output is correct
11 Correct 7 ms 2388 KB Output is correct
12 Correct 9 ms 2508 KB Output is correct
13 Correct 7 ms 2504 KB Output is correct
14 Correct 7 ms 2388 KB Output is correct
15 Correct 6 ms 2388 KB Output is correct
16 Correct 3 ms 2260 KB Output is correct
17 Correct 5 ms 2368 KB Output is correct
18 Correct 3 ms 2260 KB Output is correct
19 Correct 3 ms 2260 KB Output is correct
20 Correct 3 ms 2260 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2388 KB Output is correct
2 Correct 7 ms 2388 KB Output is correct
3 Correct 6 ms 2388 KB Output is correct
4 Correct 6 ms 2504 KB Output is correct
5 Correct 6 ms 2468 KB Output is correct
6 Correct 8 ms 2500 KB Output is correct
7 Correct 7 ms 2504 KB Output is correct
8 Correct 7 ms 2504 KB Output is correct
9 Correct 7 ms 2388 KB Output is correct
10 Correct 7 ms 2388 KB Output is correct
11 Correct 7 ms 2388 KB Output is correct
12 Correct 9 ms 2508 KB Output is correct
13 Correct 7 ms 2504 KB Output is correct
14 Correct 7 ms 2388 KB Output is correct
15 Correct 6 ms 2388 KB Output is correct
16 Correct 3 ms 2260 KB Output is correct
17 Correct 5 ms 2368 KB Output is correct
18 Correct 3 ms 2260 KB Output is correct
19 Correct 3 ms 2260 KB Output is correct
20 Correct 3 ms 2260 KB Output is correct
21 Correct 398 ms 3884 KB Output is correct
22 Correct 385 ms 4392 KB Output is correct
23 Correct 341 ms 3780 KB Output is correct
24 Correct 365 ms 3852 KB Output is correct
25 Correct 404 ms 3872 KB Output is correct
26 Correct 811 ms 4732 KB Output is correct
27 Correct 790 ms 4556 KB Output is correct
28 Correct 763 ms 4408 KB Output is correct
29 Correct 771 ms 4704 KB Output is correct
30 Correct 15 ms 2516 KB Output is correct
31 Correct 17 ms 2568 KB Output is correct
32 Correct 12 ms 2516 KB Output is correct
33 Correct 12 ms 2576 KB Output is correct
34 Correct 13 ms 2568 KB Output is correct
35 Correct 9 ms 2564 KB Output is correct
36 Correct 10 ms 2532 KB Output is correct
37 Correct 13 ms 2516 KB Output is correct
38 Correct 10 ms 2516 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 2900 KB Output is correct
2 Correct 9 ms 2920 KB Output is correct
3 Correct 11 ms 2900 KB Output is correct
4 Correct 12 ms 2992 KB Output is correct
5 Correct 12 ms 3004 KB Output is correct
6 Correct 23 ms 3424 KB Output is correct
7 Correct 23 ms 3400 KB Output is correct
8 Correct 26 ms 3372 KB Output is correct
9 Correct 23 ms 3412 KB Output is correct
10 Correct 23 ms 3304 KB Output is correct
11 Correct 13 ms 2956 KB Output is correct
12 Correct 10 ms 2916 KB Output is correct
13 Correct 11 ms 2900 KB Output is correct
14 Correct 12 ms 2900 KB Output is correct
15 Correct 13 ms 2948 KB Output is correct
16 Correct 7 ms 2656 KB Output is correct
17 Correct 6 ms 2652 KB Output is correct
18 Correct 7 ms 2644 KB Output is correct
19 Correct 5 ms 2644 KB Output is correct
20 Correct 7 ms 2644 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2388 KB Output is correct
2 Correct 7 ms 2388 KB Output is correct
3 Correct 6 ms 2388 KB Output is correct
4 Correct 6 ms 2504 KB Output is correct
5 Correct 6 ms 2468 KB Output is correct
6 Correct 8 ms 2500 KB Output is correct
7 Correct 7 ms 2504 KB Output is correct
8 Correct 7 ms 2504 KB Output is correct
9 Correct 7 ms 2388 KB Output is correct
10 Correct 7 ms 2388 KB Output is correct
11 Correct 7 ms 2388 KB Output is correct
12 Correct 9 ms 2508 KB Output is correct
13 Correct 7 ms 2504 KB Output is correct
14 Correct 7 ms 2388 KB Output is correct
15 Correct 6 ms 2388 KB Output is correct
16 Correct 3 ms 2260 KB Output is correct
17 Correct 5 ms 2368 KB Output is correct
18 Correct 3 ms 2260 KB Output is correct
19 Correct 3 ms 2260 KB Output is correct
20 Correct 3 ms 2260 KB Output is correct
21 Correct 398 ms 3884 KB Output is correct
22 Correct 385 ms 4392 KB Output is correct
23 Correct 341 ms 3780 KB Output is correct
24 Correct 365 ms 3852 KB Output is correct
25 Correct 404 ms 3872 KB Output is correct
26 Correct 811 ms 4732 KB Output is correct
27 Correct 790 ms 4556 KB Output is correct
28 Correct 763 ms 4408 KB Output is correct
29 Correct 771 ms 4704 KB Output is correct
30 Correct 15 ms 2516 KB Output is correct
31 Correct 17 ms 2568 KB Output is correct
32 Correct 12 ms 2516 KB Output is correct
33 Correct 12 ms 2576 KB Output is correct
34 Correct 13 ms 2568 KB Output is correct
35 Correct 9 ms 2564 KB Output is correct
36 Correct 10 ms 2532 KB Output is correct
37 Correct 13 ms 2516 KB Output is correct
38 Correct 10 ms 2516 KB Output is correct
39 Correct 12 ms 2900 KB Output is correct
40 Correct 9 ms 2920 KB Output is correct
41 Correct 11 ms 2900 KB Output is correct
42 Correct 12 ms 2992 KB Output is correct
43 Correct 12 ms 3004 KB Output is correct
44 Correct 23 ms 3424 KB Output is correct
45 Correct 23 ms 3400 KB Output is correct
46 Correct 26 ms 3372 KB Output is correct
47 Correct 23 ms 3412 KB Output is correct
48 Correct 23 ms 3304 KB Output is correct
49 Correct 13 ms 2956 KB Output is correct
50 Correct 10 ms 2916 KB Output is correct
51 Correct 11 ms 2900 KB Output is correct
52 Correct 12 ms 2900 KB Output is correct
53 Correct 13 ms 2948 KB Output is correct
54 Correct 7 ms 2656 KB Output is correct
55 Correct 6 ms 2652 KB Output is correct
56 Correct 7 ms 2644 KB Output is correct
57 Correct 5 ms 2644 KB Output is correct
58 Correct 7 ms 2644 KB Output is correct
59 Correct 1154 ms 19164 KB Output is correct
60 Correct 1069 ms 18708 KB Output is correct
61 Correct 1050 ms 18660 KB Output is correct
62 Correct 1179 ms 19632 KB Output is correct
63 Correct 1189 ms 18924 KB Output is correct
64 Execution timed out 2096 ms 25388 KB Time limit exceeded
65 Halted 0 ms 0 KB -