| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 63231 |
2018-08-01T06:36:21 Z |
qkxwsm |
Boat (APIO16_boat) |
C++17 |
|
2000 ms |
9116 KB |
/*
PROG: source
LANG: C++11
_____
.' '.
/ 0 0 \
| ^ |
| \ / |
\ '---' /
'._____.'
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
struct chash
{
int operator()(int x) const
{
x ^= (x >> 20) ^ (x >> 12);
return x ^ (x >> 7) ^ (x >> 4);
}
int operator()(long long x) const
{
return x ^ (x >> 32);
}
};
template<typename T> using orderedset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using hashtable = gp_hash_table<T, U, chash>;
template<class T>
void readi(T &x)
{
T input = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
input = input * 10 + (c - '0');
c = getchar();
}
if (negative)
{
input = -input;
}
x = input;
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int aout[20];
int ilen = 0;
while(output)
{
aout[ilen] = ((output % 10));
output /= 10;
ilen++;
}
for (int i = ilen - 1; i >= 0; i--)
{
putchar(aout[i] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
template<class T, class U>
T normalize(T x, U mod = 1000000007)
{
return (((x % mod) + mod) % mod);
}
long long randomizell(long long mod)
{
return ((1ll << 45) * rand() + (1ll << 30) * rand() + (1ll << 15) * rand() + rand()) % mod;
}
int randomize(int mod)
{
return ((1ll << 15) * rand() + rand()) % mod;
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define PF push_front
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define debug(x) cerr << #x << " = " << x << endl;
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-10;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 513
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
int N;
pii arr[MAXN];
vector<int> compress;
ll dp[MAXN][2 * MAXN], pref[MAXN][2 * MAXN];
ll modinv[MAXN], ifact[MAXN];
ll nchoose[MAXN][MAXN], pchoose[MAXN];
ll prec[MAXN];
ll ans;
ll getpow(ll a, ll e)
{
if (e == 1)
{
return a;
}
ll was = getpow(a, e / 2);
if (e & 1)
{
return was * was % INF * a % INF;
}
return was * was % INF;
}
int getidx(int v)
{
return UB(compress.begin(), compress.end(), v) - compress.begin() - 1;
}
ll choose(ll n, ll k)
{
if (k < 0 || k > n) return 0;
ll res = ifact[k];
for (int i = 0; i < k; i++)
{
res *= (n - i);
res %= INF;
}
return res;
}
void precchoose(ll k)
{
ll prod = 1;
pchoose[0] = 1;
for (int i = 1; i <= N; i++)
{
prod *= (k - i + 1);
prod %= INF;
pchoose[i] = prod * ifact[i] % INF;
// cerr << k << " choose " << i << " = " << pchoose[i] << endl;
}
return;
}
ll f(ll m, ll k)
{
//put m guys into k slots
ll res = 0;
for (int i = 0; i <= m; i++)
{
// res += nchoose[m][i] * pchoose[i];
res += nchoose[m][i] * pchoose[i];
res %= INF;
}
// cerr << "fit " << m << " into " << k << ' ' << res << endl;
return res;
}
int32_t main()
{
ios_base::sync_with_stdio(0);
srand(time(0));
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
if (fopen("input.in", "r"))
{
freopen ("input.in", "r", stdin);
freopen ("output.out", "w", stdout);
}
cin >> N;
ifact[0] = 1; ifact[1] = 1; modinv[1] = 1;
for (int i = 2; i <= N; i++)
{
modinv[i] = getpow(i, INF - 2);
ifact[i] = ifact[i - 1] * modinv[i];
ifact[i] %= INF;
}
for (int i = 0; i <= N; i++)
{
nchoose[i][0] = 1;
nchoose[i][i] = 1;
for (int j = 1; j < i; j++)
{
nchoose[i][j] = nchoose[i - 1][j - 1] + nchoose[i - 1][j];
nchoose[i][j] %= INF;
}
}
for (int i = 0; i < N; i++)
{
cin >> arr[i].fi >> arr[i].se;
arr[i].se++;
compress.PB(arr[i].fi);
compress.PB(arr[i].se);
// cerr << arr[i].fi << ',' << arr[i].se << endl;
}
compress.PB(0);
sort(compress.begin(), compress.end());
compress.erase(unique(compress.begin(), compress.end()), compress.end());
// cerr << "positions:";
// for (int x : compress)
// {
// cerr << ' ' << x;
// }
// cerr << endl;
dp[0][0] = 1;
pref[0][0] = 1;
for (int k = 1; k < compress.size() - 1; k++)
{
ll spots = compress[k + 1] - compress[k];
precchoose(spots);
for (int i = 0; i <= N; i++)
{
prec[i] = f(i, spots);
}
for (int i = 1; i <= N; i++)
{
if (compress[k] < arr[i - 1].fi || compress[k] >= arr[i - 1].se)
{
continue;
}
int oks = 0;
for (int j = i - 1; j >= 0; j--)
{
if (arr[j].fi <= compress[k] && compress[k] < arr[j].se)
{
oks++;
}
//you finish at j, but at any position less than k
//j...i - 1 are all in, and i - 1 MUST be active!
ll net = pref[j][k - 1];
// cerr << "person " << j - 1 << " finishes less than " << k << ' ' << net << endl;
ll fits = f(oks, spots) - f(oks - 1, spots);
// ll fits = (prec[oks] - prec[oks - 1] + INF) % INF;
dp[i][k] += net * fits;
dp[i][k] %= INF;
// cerr << "inside " << compress[k] << " oks " << oks << endl;
// cerr << "oks " << oks << " spots " << spots << endl;
// cerr << "good ways to fit " << j << " to " << i - 1 << " in " << k << " is " << fits << endl;
}
// cerr << "guy " << i - 1 << " finish " << k << ' ' << dp[i][k] << endl;
// pref[i][k] = pref[i][k - 1] + dp[i][k]; //person i finishes at positoin k
// pref[i][k] %= INF;
}
for (int i = 0; i <= N; i++)
{
pref[i][k] = pref[i][k - 1] + dp[i][k];
pref[i][k] %= INF;
}
}
for (int i = 1; i <= N; i++)
{
for (int j = 1; j < compress.size() - 1; j++)
{
ans += dp[i][j];
ans %= INF;
}
}
cout << ans << '\n';
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
Compilation message
boat.cpp: In function 'int32_t main()':
boat.cpp:255:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int k = 1; k < compress.size() - 1; k++)
~~^~~~~~~~~~~~~~~~~~~~~
boat.cpp:300:35: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int j = 1; j < compress.size() - 1; j++)
~~^~~~~~~~~~~~~~~~~~~~~
boat.cpp:215:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen ("input.in", "r", stdin);
~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
boat.cpp:216:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen ("output.out", "w", stdout);
~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
731 ms |
8552 KB |
Output is correct |
| 2 |
Correct |
768 ms |
8552 KB |
Output is correct |
| 3 |
Correct |
742 ms |
8608 KB |
Output is correct |
| 4 |
Correct |
750 ms |
8660 KB |
Output is correct |
| 5 |
Correct |
744 ms |
8704 KB |
Output is correct |
| 6 |
Correct |
733 ms |
9016 KB |
Output is correct |
| 7 |
Correct |
747 ms |
9016 KB |
Output is correct |
| 8 |
Correct |
796 ms |
9016 KB |
Output is correct |
| 9 |
Correct |
756 ms |
9016 KB |
Output is correct |
| 10 |
Correct |
732 ms |
9016 KB |
Output is correct |
| 11 |
Correct |
736 ms |
9048 KB |
Output is correct |
| 12 |
Correct |
739 ms |
9048 KB |
Output is correct |
| 13 |
Correct |
766 ms |
9048 KB |
Output is correct |
| 14 |
Correct |
775 ms |
9048 KB |
Output is correct |
| 15 |
Correct |
770 ms |
9116 KB |
Output is correct |
| 16 |
Correct |
144 ms |
9116 KB |
Output is correct |
| 17 |
Correct |
152 ms |
9116 KB |
Output is correct |
| 18 |
Correct |
151 ms |
9116 KB |
Output is correct |
| 19 |
Correct |
170 ms |
9116 KB |
Output is correct |
| 20 |
Correct |
161 ms |
9116 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
731 ms |
8552 KB |
Output is correct |
| 2 |
Correct |
768 ms |
8552 KB |
Output is correct |
| 3 |
Correct |
742 ms |
8608 KB |
Output is correct |
| 4 |
Correct |
750 ms |
8660 KB |
Output is correct |
| 5 |
Correct |
744 ms |
8704 KB |
Output is correct |
| 6 |
Correct |
733 ms |
9016 KB |
Output is correct |
| 7 |
Correct |
747 ms |
9016 KB |
Output is correct |
| 8 |
Correct |
796 ms |
9016 KB |
Output is correct |
| 9 |
Correct |
756 ms |
9016 KB |
Output is correct |
| 10 |
Correct |
732 ms |
9016 KB |
Output is correct |
| 11 |
Correct |
736 ms |
9048 KB |
Output is correct |
| 12 |
Correct |
739 ms |
9048 KB |
Output is correct |
| 13 |
Correct |
766 ms |
9048 KB |
Output is correct |
| 14 |
Correct |
775 ms |
9048 KB |
Output is correct |
| 15 |
Correct |
770 ms |
9116 KB |
Output is correct |
| 16 |
Correct |
144 ms |
9116 KB |
Output is correct |
| 17 |
Correct |
152 ms |
9116 KB |
Output is correct |
| 18 |
Correct |
151 ms |
9116 KB |
Output is correct |
| 19 |
Correct |
170 ms |
9116 KB |
Output is correct |
| 20 |
Correct |
161 ms |
9116 KB |
Output is correct |
| 21 |
Execution timed out |
2043 ms |
9116 KB |
Time limit exceeded |
| 22 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
55 ms |
9116 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
731 ms |
8552 KB |
Output is correct |
| 2 |
Correct |
768 ms |
8552 KB |
Output is correct |
| 3 |
Correct |
742 ms |
8608 KB |
Output is correct |
| 4 |
Correct |
750 ms |
8660 KB |
Output is correct |
| 5 |
Correct |
744 ms |
8704 KB |
Output is correct |
| 6 |
Correct |
733 ms |
9016 KB |
Output is correct |
| 7 |
Correct |
747 ms |
9016 KB |
Output is correct |
| 8 |
Correct |
796 ms |
9016 KB |
Output is correct |
| 9 |
Correct |
756 ms |
9016 KB |
Output is correct |
| 10 |
Correct |
732 ms |
9016 KB |
Output is correct |
| 11 |
Correct |
736 ms |
9048 KB |
Output is correct |
| 12 |
Correct |
739 ms |
9048 KB |
Output is correct |
| 13 |
Correct |
766 ms |
9048 KB |
Output is correct |
| 14 |
Correct |
775 ms |
9048 KB |
Output is correct |
| 15 |
Correct |
770 ms |
9116 KB |
Output is correct |
| 16 |
Correct |
144 ms |
9116 KB |
Output is correct |
| 17 |
Correct |
152 ms |
9116 KB |
Output is correct |
| 18 |
Correct |
151 ms |
9116 KB |
Output is correct |
| 19 |
Correct |
170 ms |
9116 KB |
Output is correct |
| 20 |
Correct |
161 ms |
9116 KB |
Output is correct |
| 21 |
Execution timed out |
2043 ms |
9116 KB |
Time limit exceeded |
| 22 |
Halted |
0 ms |
0 KB |
- |
