답안 #23489

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
23489 2017-05-10T11:40:45 Z Nirjhor Boat (APIO16_boat) C++14
58 / 100
2000 ms 11336 KB
#include <bits/stdc++.h> 

using namespace std;

typedef long long ll;
typedef pair <ll, ll> pii;

const int N = 505;
const int M = 1005;
const int MOD = 1e9 + 7;

int n, m;
ll a[N], b[N];
ll dp[N][M];
vector <pii> v;
ll x[M], y[M];
vector <int> z[M];
int sz[M];
ll wide[M];
int counter = 1;
ll comb[M][N];
ll inverse[N];

ll bigMod (ll a, ll e) {
  if (e == -1) e = MOD - 2;
  ll r = 1ll; while (e) {
    if (e & 1) r = (r * a) % MOD;
    a = (a * a) % MOD;
    e >>= 1;
  }
  return r;
}

ll call (int at, int range) {
  if (at > n or range > m) return 1;
  if (dp[at][range] != -1) return dp[at][range];
  int pos = 0;
  while (pos < sz[range] and z[range][pos] < at) {
    ++pos;
  }
  ll ret = call(at, range + 1);
  for (int i = pos; i < sz[range]; ++i) {
    // cout << rem << " comb ---> " << comb[range][rem] << endl;
    ret += comb[range][i - pos] * call(z[range][i] + 1, range + 1);
    ret %= MOD;
  }
  return dp[at][range] = ret;
}

ll nCr (ll n, ll r) {
  if (n < r) return 0;
  ll res = 1ll;
  for (ll i = n, j = 1; i >= n - r + 1; --i, ++j) {
    res *= i, res %= MOD;
    res *= inverse[j], res %= MOD;
  }
  return res;
}

int main (int argc, char const *argv[]) {
  scanf("%d", &n);
  for (int i = 1; i <= n; ++i) {
    scanf("%lld %lld", a + i, b + i);
    v.push_back({a[i], 0});
    v.push_back({b[i], 1});
  }
  sort(v.begin(), v.end());
  for (int i = 1; i < n + n; ++i) {
    int one = v[i - 1].second, two = v[i].second;
    int l = v[i - 1].first, r = v[i].first;
    if (!one and !two) {
      --r, ++counter;
      if (l <= r) x[++m] = l, y[m] = r;
    } else if (!one and two) {
      --counter;
      // cout << "yo " << i << " " << m << endl;
      if (l <= r) x[++m] = l, y[m] = r;
    } else if (one and two) {
      ++l, --counter;
      if (l <= r) x[++m] = l, y[m] = r; 
    } else {
      ++l, --r;
      if (counter and l <= r) x[++m] = l, y[m] = r;
      ++counter;
    }
  }
  // cout << m << endl;
  // for (int i = 1; i <= m; ++i) {
  //   cout << x[i] << " " << y[i] << endl;
  // }
  for (int i = 1; i <= m; ++i) {
    for (int j = 1; j <= n; ++j) {
      if (a[j] <= x[i] and y[i] <= b[j]) {
        z[i].push_back(j);
        ++sz[i];
      }
    }
    wide[i] = y[i] - x[i] + 1;
  } 
  for (int i = 1; i < N; ++i) {
    inverse[i] = bigMod(i, -1);
  }
  for (int i = 1; i <= m; ++i) {
    for (int j = 0; j <= n; ++j) {
      comb[i][j] = nCr(wide[i] + j, j + 1);
    }
  }
  // for (int i = 1; i <= m; ++i) {
  //   cout << i << " --> ";
  //   for (int j : z[i]) cout << j << " ";
  //   cout << endl;
  // } 
  memset(dp, -1, sizeof dp);
  // for (int i = 1; i <= n; ++i) {
  //   for (int j = 1; j <= m; ++j) {
  //     cout << "(" << i << ", " << j << ") ---> " << call(i, j) << endl;
  //   }
  // }
  ll ans = call(1, 1) + MOD - 1;
  printf("%lld\n", ans % MOD);
  return 0;
}

Compilation message

boat.cpp: In function 'int main(int, const char**)':
boat.cpp:61:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &n);
                  ^
boat.cpp:63:37: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%lld %lld", a + i, b + i);
                                     ^
# 결과 실행 시간 메모리 Grader output
1 Correct 789 ms 10016 KB Output is correct
2 Correct 786 ms 10016 KB Output is correct
3 Correct 789 ms 10016 KB Output is correct
4 Correct 786 ms 10016 KB Output is correct
5 Correct 779 ms 10016 KB Output is correct
6 Correct 786 ms 10016 KB Output is correct
7 Correct 786 ms 10016 KB Output is correct
8 Correct 779 ms 10016 KB Output is correct
9 Correct 786 ms 10016 KB Output is correct
10 Correct 786 ms 10016 KB Output is correct
11 Correct 789 ms 10016 KB Output is correct
12 Correct 783 ms 10016 KB Output is correct
13 Correct 783 ms 10016 KB Output is correct
14 Correct 786 ms 10016 KB Output is correct
15 Correct 779 ms 10016 KB Output is correct
16 Correct 143 ms 10016 KB Output is correct
17 Correct 149 ms 10016 KB Output is correct
18 Correct 143 ms 10016 KB Output is correct
19 Correct 146 ms 10016 KB Output is correct
20 Correct 146 ms 10016 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 789 ms 10016 KB Output is correct
2 Correct 786 ms 10016 KB Output is correct
3 Correct 789 ms 10016 KB Output is correct
4 Correct 786 ms 10016 KB Output is correct
5 Correct 779 ms 10016 KB Output is correct
6 Correct 786 ms 10016 KB Output is correct
7 Correct 786 ms 10016 KB Output is correct
8 Correct 779 ms 10016 KB Output is correct
9 Correct 786 ms 10016 KB Output is correct
10 Correct 786 ms 10016 KB Output is correct
11 Correct 789 ms 10016 KB Output is correct
12 Correct 783 ms 10016 KB Output is correct
13 Correct 783 ms 10016 KB Output is correct
14 Correct 786 ms 10016 KB Output is correct
15 Correct 779 ms 10016 KB Output is correct
16 Correct 143 ms 10016 KB Output is correct
17 Correct 149 ms 10016 KB Output is correct
18 Correct 143 ms 10016 KB Output is correct
19 Correct 146 ms 10016 KB Output is correct
20 Correct 146 ms 10016 KB Output is correct
21 Correct 1706 ms 10808 KB Output is correct
22 Correct 1713 ms 10940 KB Output is correct
23 Correct 1659 ms 10808 KB Output is correct
24 Correct 1666 ms 10808 KB Output is correct
25 Correct 1679 ms 10808 KB Output is correct
26 Correct 1923 ms 11204 KB Output is correct
27 Correct 1899 ms 11204 KB Output is correct
28 Correct 1879 ms 11204 KB Output is correct
29 Correct 1873 ms 11204 KB Output is correct
30 Correct 1553 ms 10016 KB Output is correct
31 Correct 1546 ms 10016 KB Output is correct
32 Correct 1533 ms 10016 KB Output is correct
33 Correct 1563 ms 10016 KB Output is correct
34 Correct 1563 ms 10016 KB Output is correct
35 Correct 1556 ms 10016 KB Output is correct
36 Correct 1559 ms 10016 KB Output is correct
37 Correct 1553 ms 10016 KB Output is correct
38 Correct 1556 ms 10016 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 16 ms 10016 KB Output is correct
2 Correct 13 ms 10016 KB Output is correct
3 Correct 19 ms 10016 KB Output is correct
4 Correct 16 ms 10016 KB Output is correct
5 Correct 16 ms 10016 KB Output is correct
6 Correct 16 ms 10148 KB Output is correct
7 Correct 16 ms 10148 KB Output is correct
8 Correct 19 ms 10148 KB Output is correct
9 Correct 16 ms 10148 KB Output is correct
10 Correct 19 ms 10148 KB Output is correct
11 Correct 16 ms 10016 KB Output is correct
12 Correct 16 ms 10016 KB Output is correct
13 Correct 16 ms 10016 KB Output is correct
14 Correct 16 ms 10016 KB Output is correct
15 Correct 16 ms 10016 KB Output is correct
16 Correct 13 ms 10016 KB Output is correct
17 Correct 9 ms 10016 KB Output is correct
18 Correct 6 ms 10016 KB Output is correct
19 Correct 6 ms 10016 KB Output is correct
20 Correct 9 ms 10016 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 789 ms 10016 KB Output is correct
2 Correct 786 ms 10016 KB Output is correct
3 Correct 789 ms 10016 KB Output is correct
4 Correct 786 ms 10016 KB Output is correct
5 Correct 779 ms 10016 KB Output is correct
6 Correct 786 ms 10016 KB Output is correct
7 Correct 786 ms 10016 KB Output is correct
8 Correct 779 ms 10016 KB Output is correct
9 Correct 786 ms 10016 KB Output is correct
10 Correct 786 ms 10016 KB Output is correct
11 Correct 789 ms 10016 KB Output is correct
12 Correct 783 ms 10016 KB Output is correct
13 Correct 783 ms 10016 KB Output is correct
14 Correct 786 ms 10016 KB Output is correct
15 Correct 779 ms 10016 KB Output is correct
16 Correct 143 ms 10016 KB Output is correct
17 Correct 149 ms 10016 KB Output is correct
18 Correct 143 ms 10016 KB Output is correct
19 Correct 146 ms 10016 KB Output is correct
20 Correct 146 ms 10016 KB Output is correct
21 Correct 1706 ms 10808 KB Output is correct
22 Correct 1713 ms 10940 KB Output is correct
23 Correct 1659 ms 10808 KB Output is correct
24 Correct 1666 ms 10808 KB Output is correct
25 Correct 1679 ms 10808 KB Output is correct
26 Correct 1923 ms 11204 KB Output is correct
27 Correct 1899 ms 11204 KB Output is correct
28 Correct 1879 ms 11204 KB Output is correct
29 Correct 1873 ms 11204 KB Output is correct
30 Correct 1553 ms 10016 KB Output is correct
31 Correct 1546 ms 10016 KB Output is correct
32 Correct 1533 ms 10016 KB Output is correct
33 Correct 1563 ms 10016 KB Output is correct
34 Correct 1563 ms 10016 KB Output is correct
35 Correct 1556 ms 10016 KB Output is correct
36 Correct 1559 ms 10016 KB Output is correct
37 Correct 1553 ms 10016 KB Output is correct
38 Correct 1556 ms 10016 KB Output is correct
39 Correct 16 ms 10016 KB Output is correct
40 Correct 13 ms 10016 KB Output is correct
41 Correct 19 ms 10016 KB Output is correct
42 Correct 16 ms 10016 KB Output is correct
43 Correct 16 ms 10016 KB Output is correct
44 Correct 16 ms 10148 KB Output is correct
45 Correct 16 ms 10148 KB Output is correct
46 Correct 19 ms 10148 KB Output is correct
47 Correct 16 ms 10148 KB Output is correct
48 Correct 19 ms 10148 KB Output is correct
49 Correct 16 ms 10016 KB Output is correct
50 Correct 16 ms 10016 KB Output is correct
51 Correct 16 ms 10016 KB Output is correct
52 Correct 16 ms 10016 KB Output is correct
53 Correct 16 ms 10016 KB Output is correct
54 Correct 13 ms 10016 KB Output is correct
55 Correct 9 ms 10016 KB Output is correct
56 Correct 6 ms 10016 KB Output is correct
57 Correct 6 ms 10016 KB Output is correct
58 Correct 9 ms 10016 KB Output is correct
59 Correct 1863 ms 10940 KB Output is correct
60 Correct 1853 ms 10808 KB Output is correct
61 Correct 1863 ms 10808 KB Output is correct
62 Correct 1903 ms 11072 KB Output is correct
63 Correct 1856 ms 10808 KB Output is correct
64 Execution timed out 2000 ms 11336 KB Execution timed out
65 Halted 0 ms 0 KB -