oj.uz

Submission #558161

# Submission time Handle Problem Language Result Execution time Memory
558161 2022-05-07T01:42:39 Z Sweezy Boat (APIO16_boat) C++17
9 / 100
 2000 ms 8236 KB 
#include <bits/stdc++.h>
 
using namespace std;
#define int long long
 
template <typename A, typename B>
string to_string(pair<A, B> p);
 
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);
 
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);
 
string to_string(const string& s) {
  return '"' + s + '"';
}
 
string to_string(const char* s) {
  return to_string((string) s);
}
 
string to_string(bool b) {
  return (b ? "true" : "false");
}
 
string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}
 
template <size_t N>
string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) {
    res += static_cast<char>('0' + v[i]);
  }
  return res;
}
 
template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}
 
template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
 
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}
 
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}
  
void debug_out() { cerr << endl; }
 
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}
 
#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
 
#define all(a) (a).begin(), (a).end()
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define reps(i, s, n) for (int i = s; i < (n); ++i)
#define pb push_back
#define sz(a) (int) (a.size())
 
const int mod = 1e9 + 7;
 
void solve() {
  int n;
  cin >> n;
  vector<int> l(n), r(n), cs;
  rep(i, n) {
    cin >> l[i] >> r[i];
    cs.pb(l[i]);
    // cs.pb(r[i] - 1);
    // cs.pb(r[i]);
    cs.pb(r[i] + 1);
  }
 
  sort(all(cs));
  cs.erase(unique(all(cs)), cs.end());
  vector<pair<int, int>> segs;
  rep(i, sz(cs) - 1) {
    segs.emplace_back(cs[i], cs[i + 1] - 1);
  }
  segs.emplace_back(cs.back(), cs.back());
 
  debug(segs);
 
  auto add = [&] (int &a, int b) -> void {
    (a += b) %= mod;
  };
 
  auto mul = [&] (int a, int b) {
    return a * b % mod;
  };
 
  auto binpow = [&] (int a, int n) {
    int res = 1;
    while (n) {
      if (n % 2) {
        res = mul(res, a);
      }
      a = mul(a, a);
      n /= 2;
    }
    return res;
  };
 
  auto inv = [&] (int val) {
    return binpow(val, mod - 2);
  };
 
  vector<int> f(n + 1), rf(n + 1);
  f[0] = rf[0] = 1;
  reps(i, 1, n + 1) {
    f[i] = mul(f[i - 1], i);
    rf[i] = inv(f[i]);
  }
 
  auto C = [&] (int n, int k) {
    int res = 1;
    reps(i, 1, k + 1) {
      res = mul(res, n - k + i);
    }
    return mul(res, rf[k]);
  };
 
  auto sub = [&] (int a, int b) {
    a -= b;
    if (a < 0) a += mod;
    return a;
  };
 
  vector<vector<int>> dp(n, vector<int> (sz(segs)));
  auto p = dp;
  rep(pos, sz(segs)) {
    if (segs[pos].first >= l[0] && segs[pos].second <= r[0]) {
      dp[0][pos] = segs[pos].second - segs[pos].first + 1;
    }
  }
  debug(dp);
  p[0][0] = dp[0][0];
  reps(i, 1, sz(segs)) {
    p[0][i] = dp[0][i];
    add(p[0][i], p[0][i - 1]);
  }
  reps(i, 1, n) {
    rep(pos, sz(segs)) {
      if (segs[pos].first < l[i] || segs[pos].second > r[i]) continue;
      int len = segs[pos].second - segs[pos].first + 1;
      add(dp[i][pos], len);
      // rep(prev, pos) {
      //   rep(j, i) {
      //     add(dp[i][pos], mul(len, dp[j][prev]));
      //   }
      // }
      if (pos > 0) {
        add(dp[i][pos], mul(len, p[i - 1][pos - 1]));
      }
      // debug(i, pos, dp[i]);
      int cur = 0;
      for (int j = i; j >= 0; j--) {
        reps(cnt, 2, min(cur + 1, len + 1)) {
          rep(prev, pos) {
            add(dp[i][pos], mul(C(len, cnt), dp[j][prev]));
          }
        }
        if (segs[pos].first >= l[j] && segs[pos].second <= r[j]) {
          cur++;
        }
      }
      // debug(i, pos, cur);
      reps(cnt, 2, min(cur + 1, len + 1)) {
        add(dp[i][pos], C(len, cnt));
      }
    }
    p[i][0] = dp[i][0];
    reps(pos, 1, sz(segs)) {
      add(p[i][pos], p[i][pos - 1]);
      add(p[i][pos], dp[i][pos]);
    }
    rep(pos, sz(segs)) {
      add(p[i][pos], p[i - 1][pos]);
    }
    debug(dp);
  }
 
  int res = 0;
  reps(i, 0, n) {
    rep(j, sz(segs)) {
      add(res, dp[i][j]);
    }
  }
 
  cout << res;
}
 
signed main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  solve();
  return 0;
}

Compilation message

boat.cpp: In function 'void solve()':
boat.cpp:91:20: warning: statement has no effect [-Wunused-value]
   91 | #define debug(...) 42
      |                    ^~
boat.cpp:122:3: note: in expansion of macro 'debug'
  122 |   debug(segs);
      |   ^~~~~
boat.cpp:91:20: warning: statement has no effect [-Wunused-value]
   91 | #define debug(...) 42
      |                    ^~
boat.cpp:176:3: note: in expansion of macro 'debug'
  176 |   debug(dp);
      |   ^~~~~
boat.cpp:91:20: warning: statement has no effect [-Wunused-value]
   91 | #define debug(...) 42
      |                    ^~
boat.cpp:220:5: note: in expansion of macro 'debug'
  220 |     debug(dp);
      |     ^~~~~
boat.cpp:163:8: warning: variable 'sub' set but not used [-Wunused-but-set-variable]
  163 |   auto sub = [&] (int a, int b) {
      |        ^~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 8232 KB Output is correct
2 Correct 15 ms 8148 KB Output is correct
3 Correct 15 ms 8148 KB Output is correct
4 Correct 14 ms 8148 KB Output is correct
5 Correct 14 ms 8148 KB Output is correct
6 Correct 15 ms 8148 KB Output is correct
7 Correct 15 ms 8136 KB Output is correct
8 Correct 16 ms 8148 KB Output is correct
9 Correct 16 ms 8148 KB Output is correct
10 Correct 18 ms 8236 KB Output is correct
11 Correct 15 ms 8236 KB Output is correct
12 Correct 17 ms 8180 KB Output is correct
13 Correct 15 ms 8148 KB Output is correct
14 Correct 15 ms 8148 KB Output is correct
15 Correct 14 ms 8148 KB Output is correct
16 Correct 4 ms 1748 KB Output is correct
17 Correct 4 ms 1748 KB Output is correct
18 Correct 4 ms 1748 KB Output is correct
19 Correct 4 ms 1748 KB Output is correct
20 Correct 4 ms 1748 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 8232 KB Output is correct
2 Correct 15 ms 8148 KB Output is correct
3 Correct 15 ms 8148 KB Output is correct
4 Correct 14 ms 8148 KB Output is correct
5 Correct 14 ms 8148 KB Output is correct
6 Correct 15 ms 8148 KB Output is correct
7 Correct 15 ms 8136 KB Output is correct
8 Correct 16 ms 8148 KB Output is correct
9 Correct 16 ms 8148 KB Output is correct
10 Correct 18 ms 8236 KB Output is correct
11 Correct 15 ms 8236 KB Output is correct
12 Correct 17 ms 8180 KB Output is correct
13 Correct 15 ms 8148 KB Output is correct
14 Correct 15 ms 8148 KB Output is correct
15 Correct 14 ms 8148 KB Output is correct
16 Correct 4 ms 1748 KB Output is correct
17 Correct 4 ms 1748 KB Output is correct
18 Correct 4 ms 1748 KB Output is correct
19 Correct 4 ms 1748 KB Output is correct
20 Correct 4 ms 1748 KB Output is correct
21 Execution timed out 2095 ms 7508 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2092 ms 596 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 8232 KB Output is correct
2 Correct 15 ms 8148 KB Output is correct
3 Correct 15 ms 8148 KB Output is correct
4 Correct 14 ms 8148 KB Output is correct
5 Correct 14 ms 8148 KB Output is correct
6 Correct 15 ms 8148 KB Output is correct
7 Correct 15 ms 8136 KB Output is correct
8 Correct 16 ms 8148 KB Output is correct
9 Correct 16 ms 8148 KB Output is correct
10 Correct 18 ms 8236 KB Output is correct
11 Correct 15 ms 8236 KB Output is correct
12 Correct 17 ms 8180 KB Output is correct
13 Correct 15 ms 8148 KB Output is correct
14 Correct 15 ms 8148 KB Output is correct
15 Correct 14 ms 8148 KB Output is correct
16 Correct 4 ms 1748 KB Output is correct
17 Correct 4 ms 1748 KB Output is correct
18 Correct 4 ms 1748 KB Output is correct
19 Correct 4 ms 1748 KB Output is correct
20 Correct 4 ms 1748 KB Output is correct
21 Execution timed out 2095 ms 7508 KB Time limit exceeded
22 Halted 0 ms 0 KB -