Submission #96794

# Submission time Handle Problem Language Result Execution time Memory
96794 2019-02-12T03:13:00 Z qkxwsm Kangaroo (CEOI16_kangaroo) C++14
51 / 100
101 ms 6096 KB
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;

random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();

struct custom_hash
{
	template<class T>
	unsigned long long operator()(T v) const
	{
		unsigned long long x = v;
		x += FIXED_RANDOM;
		// x += 11400714819323198485ull;
		// x = (x ^ (x >> 30)) * 13787848793156543929ull;
		x = (x ^ (x >> 27)) * 10723151780598845931ull;
		return x ^ (x >> 31);
	}
};

template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U> using hash_table = gp_hash_table<T, U, custom_hash>;

template<class T>
T randomize(T mod)
{
	return (uniform_int_distribution<T>(0, mod - 1))(rng);
}
template<class T>
void readi(T &x)
{
	x = 0;
	bool negative = false;
	char c = ' ';
	while (c < '-')
	{
		c = getchar();
	}
	if (c == '-')
	{
		negative = true;
		c = getchar();
	}
	while (c >= '0')
	{
		x = x * 10 + (c - '0');
		c = getchar();
	}
	if (negative)
	{
		x = -x;
	}
}
template<class T>
void printi(T output)
{
	if (output == 0)
	{
		putchar('0');
		return;
	}
	if (output < 0)
	{
		putchar('-');
		output = -output;
	}
	int buf[20], n = 0;
	while(output)
	{
		buf[n] = ((output % 10));
		output /= 10;
		n++;
	}
	for (n--; n >= 0; n--)
	{
		putchar(buf[n] + '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);
}
long long expo(long long a, long long e, long long mod)
{
	return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
void nmod(T &x, U mod)
{
	if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
	return (b ? gcd(b, a % b) : a);
}

#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define DBG(x) cerr << #x << " = " << (x) << endl
#define SZ(x) ((int) ((x).size()))
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define ALL(x) (x).begin(), (x).end()

const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;

#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 213

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef vector<pdd> vpd;

int N, S, T;
ll dp[2][2][MAXN][MAXN], pref[2][2][MAXN][MAXN];
ll ans;

int32_t main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	// cout << fixed << setprecision(10);
	// cerr << fixed << setprecision(10);
	// if (fopen("file.in", "r"))
	// {
	// 	freopen ("file.in", "r", stdin);
	// 	freopen ("file.out", "w", stdout);
	// }
	cin >> N >> S >> T;
	S--; T--;
	dp[1][0][0][0] = dp[1][1][0][0] = 1;
	FOR(tot, 2, N + 1)
	{
		FOR(flag, 0, 2)
		{
			FOR(goal, 0, tot - 1)
			{
				pref[tot & 1 ^ 1][flag][goal][0] = 0;
				FOR(cur, 0, tot - 1)
				{
					pref[tot & 1 ^ 1][flag][goal][cur + 1] = pref[tot & 1 ^ 1][flag][goal][cur] + dp[tot & 1 ^ 1][flag][goal][cur];
					nmod(pref[tot & 1 ^ 1][flag][goal][cur + 1], INF);
				}
			}
		}
		FOR(flag, 0, 2)
		{
			FOR(goal, 0, tot)
			{
				FOR(cur, 0, tot)
				{
					dp[tot & 1][flag][goal][cur] = 0;
					if (cur == goal) continue;
					if (flag == 1)
					{
						dp[tot & 1][flag][goal][cur] = pref[tot & 1 ^ 1][0][goal - (bool) (cur <= goal)][tot - 1] - pref[tot & 1 ^ 1][0][goal - (bool) (cur <= goal)][cur];
						dp[tot & 1][flag][goal][cur] += INF; nmod(dp[tot & 1][flag][goal][cur], INF);
						// FOR(i, cur + 1, tot)
						// {
						// 	dp[tot & 1][flag][goal][cur] += dp[tot & 1 ^ 1][0][goal - (bool) (cur <= goal)][i - 1];
						// 	nmod(dp[tot & 1][flag][goal][cur], INF);
						// }
					}
					if (flag == 0)
					{
						dp[tot & 1][flag][goal][cur] = pref[tot & 1 ^ 1][1][goal - (bool) (cur <= goal)][cur] - pref[tot & 1 ^ 1][1][goal - (bool) (cur <= goal)][0];
						dp[tot & 1][flag][goal][cur] += INF; nmod(dp[tot & 1][flag][goal][cur], INF);
						// FOR(i, 0, cur)
						// {
						// 	dp[tot & 1][flag][goal][cur] += dp[tot & 1 ^ 1][1][goal - (bool) (cur <= goal)][i];
						// 	nmod(dp[tot & 1][flag][goal][cur], INF);
						// }
					}
				}
			}
		}
	}
	ans = dp[N & 1][0][T][S] + dp[N & 1][1][T][S];
	// ans = solve(0, S, T, N) + solve(1, S, T, N);
	nmod(ans, INF);
	cout << ans << '\n';
	//your state can be described by:
	//where you are! where the end is! how many there are! direction!
	// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
	return 0;
}
/* READ READ READ
* int overflow, maxn too small, special cases (n=1?, two distinct?), cin.tie() interactive
* reread the problem, try small cases
* note down possible sources of error as you go
* do smth instead of nothing
*/

Compilation message

kangaroo.cpp: In function 'int32_t main()':
kangaroo.cpp:176:14: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
     pref[tot & 1 ^ 1][flag][goal][0] = 0;
          ~~~~^~~
kangaroo.cpp:179:15: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
      pref[tot & 1 ^ 1][flag][goal][cur + 1] = pref[tot & 1 ^ 1][flag][goal][cur] + dp[tot & 1 ^ 1][flag][goal][cur];
           ~~~~^~~
kangaroo.cpp:179:56: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
      pref[tot & 1 ^ 1][flag][goal][cur + 1] = pref[tot & 1 ^ 1][flag][goal][cur] + dp[tot & 1 ^ 1][flag][goal][cur];
                                                    ~~~~^~~
kangaroo.cpp:179:91: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
      pref[tot & 1 ^ 1][flag][goal][cur + 1] = pref[tot & 1 ^ 1][flag][goal][cur] + dp[tot & 1 ^ 1][flag][goal][cur];
                                                                                       ~~~~^~~
kangaroo.cpp:180:20: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
      nmod(pref[tot & 1 ^ 1][flag][goal][cur + 1], INF);
                ~~~~^~~
kangaroo.cpp:194:47: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
       dp[tot & 1][flag][goal][cur] = pref[tot & 1 ^ 1][0][goal - (bool) (cur <= goal)][tot - 1] - pref[tot & 1 ^ 1][0][goal - (bool) (cur <= goal)][cur];
                                           ~~~~^~~
kangaroo.cpp:194:108: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
       dp[tot & 1][flag][goal][cur] = pref[tot & 1 ^ 1][0][goal - (bool) (cur <= goal)][tot - 1] - pref[tot & 1 ^ 1][0][goal - (bool) (cur <= goal)][cur];
                                                                                                        ~~~~^~~
kangaroo.cpp:204:47: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
       dp[tot & 1][flag][goal][cur] = pref[tot & 1 ^ 1][1][goal - (bool) (cur <= goal)][cur] - pref[tot & 1 ^ 1][1][goal - (bool) (cur <= goal)][0];
                                           ~~~~^~~
kangaroo.cpp:204:104: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
       dp[tot & 1][flag][goal][cur] = pref[tot & 1 ^ 1][1][goal - (bool) (cur <= goal)][cur] - pref[tot & 1 ^ 1][1][goal - (bool) (cur <= goal)][0];
                                                                                                    ~~~~^~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
3 Correct 2 ms 632 KB Output is correct
4 Correct 3 ms 888 KB Output is correct
5 Correct 3 ms 888 KB Output is correct
6 Correct 3 ms 860 KB Output is correct
7 Correct 2 ms 888 KB Output is correct
8 Correct 3 ms 888 KB Output is correct
9 Correct 3 ms 888 KB Output is correct
10 Correct 2 ms 888 KB Output is correct
11 Correct 3 ms 888 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
3 Correct 2 ms 632 KB Output is correct
4 Correct 3 ms 888 KB Output is correct
5 Correct 3 ms 888 KB Output is correct
6 Correct 3 ms 860 KB Output is correct
7 Correct 2 ms 888 KB Output is correct
8 Correct 3 ms 888 KB Output is correct
9 Correct 3 ms 888 KB Output is correct
10 Correct 2 ms 888 KB Output is correct
11 Correct 3 ms 888 KB Output is correct
12 Correct 62 ms 3064 KB Output is correct
13 Correct 52 ms 2768 KB Output is correct
14 Correct 64 ms 3056 KB Output is correct
15 Correct 64 ms 2952 KB Output is correct
16 Correct 62 ms 2996 KB Output is correct
17 Correct 63 ms 3064 KB Output is correct
18 Correct 45 ms 2680 KB Output is correct
19 Correct 60 ms 3164 KB Output is correct
20 Correct 64 ms 3064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 504 KB Output is correct
3 Correct 2 ms 632 KB Output is correct
4 Correct 3 ms 888 KB Output is correct
5 Correct 3 ms 888 KB Output is correct
6 Correct 3 ms 860 KB Output is correct
7 Correct 2 ms 888 KB Output is correct
8 Correct 3 ms 888 KB Output is correct
9 Correct 3 ms 888 KB Output is correct
10 Correct 2 ms 888 KB Output is correct
11 Correct 3 ms 888 KB Output is correct
12 Correct 62 ms 3064 KB Output is correct
13 Correct 52 ms 2768 KB Output is correct
14 Correct 64 ms 3056 KB Output is correct
15 Correct 64 ms 2952 KB Output is correct
16 Correct 62 ms 2996 KB Output is correct
17 Correct 63 ms 3064 KB Output is correct
18 Correct 45 ms 2680 KB Output is correct
19 Correct 60 ms 3164 KB Output is correct
20 Correct 64 ms 3064 KB Output is correct
21 Runtime error 101 ms 6096 KB Execution killed with signal 11 (could be triggered by violating memory limits)
22 Halted 0 ms 0 KB -