QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#382059 | #5532. Kangaroo | nhuang685 | 100 ✓ | 14ms | 18996kb | C++20 | 4.3kb | 2024-04-08 01:28:21 | 2024-04-08 01:28:23 |
Judging History
answer
/**
* @file qoj5532-2.cpp
* @author n685
* @brief
* @date 2024-04-06
*
*
*/
#include <bits/stdc++.h>
#ifdef LOCAL
#include "dd/debug.h"
#else
#define dbg(...) 42
#define dbgR(...) 4242
#define dbgP(...) 420
#define dbgRP(...) 420420
void nline() {}
#endif
template <class T> constexpr std::pair<T, T> exEucl(T a, T b) {
if (a < b) {
// auto [x, y] = exEucl(b, a);
T x, y;
std::tie(x, y) = exEucl(b, a);
return {y, x};
}
if (b == 0) {
assert(a == 1);
return {1, 0};
}
// auto [x, y] = exEucl(b, a % b);
T x, y;
std::tie(x, y) = exEucl(b, a % b);
return {y, x - (a / b) * y};
}
template <
class T, class U,
typename std::enable_if<std::is_integral<U>::value, bool>::type = true>
constexpr T binpow(T a, U b) {
// 0^0 = 1
T res = 1;
while (b > 0) {
if (b % 2 == 1) {
res *= a;
}
a *= a;
b /= 2;
}
return res;
}
template <class Md, class V = int64_t> struct Mod {
using T = typename std::decay<decltype(Md::value)>::type;
T val = 0;
template <class U> static constexpr T normalize(U val) {
if (val <= -Md::value || Md::value <= val) {
val %= Md::value;
}
if (val < 0) {
val += Md::value;
}
return static_cast<T>(val);
}
constexpr Mod() : val(0) {}
template <class U, typename std::enable_if<std::is_integral<U>::value,
bool>::type = true>
constexpr Mod(U _val) {
val = normalize(_val);
}
// addition
constexpr Mod &operator+=(Mod b) {
val += b.val;
if (val >= Md::value) {
val -= Md::value;
}
return *this;
}
friend constexpr Mod operator+(Mod a, Mod b) { return (a += b); }
constexpr Mod &operator++() { return (*this += 1); }
constexpr Mod operator++(int) {
Mod res = *this;
++(*this);
return res;
}
// subtraction
constexpr Mod &operator-=(Mod b) {
val -= b.val;
if (val < 0) {
val += Md::value;
}
return *this;
}
friend constexpr Mod operator-(Mod a, Mod b) { return (a -= b); }
constexpr Mod &operator--() { return (*this -= 1); }
constexpr Mod operator--(int) {
Mod res = *this;
--(*this);
return res;
}
// multiplication
constexpr Mod &operator*=(Mod b) {
val = static_cast<T>(static_cast<V>(val) * b.val % Md::value);
return *this;
}
friend constexpr Mod operator*(Mod a, Mod b) { return (a *= b); }
template <class U> constexpr Mod binpow(U b) const {
return ::binpow(*this, b);
}
constexpr Mod inv() const {
return Mod(exEucl(static_cast<V>(val), static_cast<V>(Md::value)).first);
// return binpow(Md::value - 2);
}
// comparison
constexpr bool operator==(Mod b) const { return (val == b.val); }
// constexpr auto operator<=>(const Mod &b) const = default;
constexpr bool operator!=(Mod b) const { return (val != b.val); }
constexpr bool operator<(Mod b) const { return (val < b.val); }
constexpr bool operator>(Mod b) const { return (val > b.val); }
constexpr bool operator<=(Mod b) const { return (val <= b.val); }
constexpr bool operator>=(Mod b) const { return (val >= b.val); }
// io
friend std::istream &operator>>(std::istream &in, Mod &a) {
V v;
in >> v;
a = Mod(v);
return in;
}
friend std::ostream &operator<<(std::ostream &out, const Mod &a) {
out << a.val;
return out;
}
// conversion
explicit constexpr operator T() const { return val; }
constexpr const T &operator()() const { return val; }
constexpr Mod operator-() const { return Mod(-val); }
};
constexpr int MOD = (int)1e9 + 7;
using Mint = Mod<std::integral_constant<std::decay<decltype(MOD)>::type, MOD>>;
int main() {
#ifndef LOCAL
std::cin.tie(nullptr)->sync_with_stdio(false);
#endif
int n, cs, cf;
std::cin >> n >> cs >> cf;
std::vector dp(n + 1, std::vector<Mint>(n + 1));
dp[1][1] = 1;
for (int i : std::views::iota(2, n + 1)) {
for (int j : std::views::iota(1, i + 1)) {
if (i == cs || i == cf) {
dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j];
} else {
if (j < i - 1) {
dp[i][j] += j * dp[i - 1][j + 1];
}
dp[i][j] += (j - (i > cs) - (i > cf)) * dp[i - 1][j - 1];
}
}
}
std::cout << dp[n][1] << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 6
Accepted
Test #1:
score: 6
Accepted
time: 0ms
memory: 3456kb
input:
7 3 6
output:
14
result:
ok 1 number(s): "14"
Subtask #2:
score: 30
Accepted
Dependency #1:
100%
Accepted
Test #2:
score: 30
Accepted
time: 0ms
memory: 3468kb
input:
39 36 32
output:
964903316
result:
ok 1 number(s): "964903316"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
26 1 26
output:
955348527
result:
ok 1 number(s): "955348527"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
40 11 33
output:
695661890
result:
ok 1 number(s): "695661890"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
39 39 38
output:
717149364
result:
ok 1 number(s): "717149364"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3476kb
input:
40 10 25
output:
912929610
result:
ok 1 number(s): "912929610"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3440kb
input:
37 25 23
output:
250748685
result:
ok 1 number(s): "250748685"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
39 2 38
output:
624060592
result:
ok 1 number(s): "624060592"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3484kb
input:
40 18 22
output:
739993796
result:
ok 1 number(s): "739993796"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
40 11 35
output:
135213497
result:
ok 1 number(s): "135213497"
Subtask #3:
score: 15
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Test #11:
score: 15
Accepted
time: 0ms
memory: 3748kb
input:
199 100 70
output:
914653136
result:
ok 1 number(s): "914653136"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
187 3 40
output:
928785584
result:
ok 1 number(s): "928785584"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
199 198 197
output:
38412688
result:
ok 1 number(s): "38412688"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
200 40 140
output:
367088143
result:
ok 1 number(s): "367088143"
Test #15:
score: 0
Accepted
time: 1ms
memory: 3884kb
input:
199 111 3
output:
870834793
result:
ok 1 number(s): "870834793"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3868kb
input:
200 133 73
output:
343127012
result:
ok 1 number(s): "343127012"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
178 15 163
output:
160852284
result:
ok 1 number(s): "160852284"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
197 43 79
output:
332057544
result:
ok 1 number(s): "332057544"
Test #19:
score: 0
Accepted
time: 1ms
memory: 3752kb
input:
200 33 79
output:
742545318
result:
ok 1 number(s): "742545318"
Subtask #4:
score: 49
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Test #20:
score: 49
Accepted
time: 2ms
memory: 4860kb
input:
658 169 438
output:
206087110
result:
ok 1 number(s): "206087110"
Test #21:
score: 0
Accepted
time: 2ms
memory: 5196kb
input:
700 207 509
output:
478311263
result:
ok 1 number(s): "478311263"
Test #22:
score: 0
Accepted
time: 0ms
memory: 5396kb
input:
755 139 507
output:
103783948
result:
ok 1 number(s): "103783948"
Test #23:
score: 0
Accepted
time: 12ms
memory: 18996kb
input:
2000 500 1500
output:
123410309
result:
ok 1 number(s): "123410309"
Test #24:
score: 0
Accepted
time: 10ms
memory: 18928kb
input:
2000 1000 1001
output:
956197482
result:
ok 1 number(s): "956197482"
Test #25:
score: 0
Accepted
time: 12ms
memory: 18916kb
input:
2000 666 1333
output:
993781645
result:
ok 1 number(s): "993781645"
Test #26:
score: 0
Accepted
time: 14ms
memory: 18620kb
input:
1991 198 677
output:
155058730
result:
ok 1 number(s): "155058730"
Test #27:
score: 0
Accepted
time: 6ms
memory: 12068kb
input:
1498 299 659
output:
665757882
result:
ok 1 number(s): "665757882"