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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#321175 | #8211. Enumerating Substrings | ucup-team2894# | AC ✓ | 255ms | 23516kb | C++20 | 3.8kb | 2024-02-04 06:16:47 | 2024-02-04 06:16:47 |
Judging History
answer
#include <bits/stdc++.h>
#define fr first
#define sc second
#define all(a) (a).begin(), (a).end()
#define unique(a) a.resize(unique(a.begin(), a.end()) - a.begin())
using namespace std;
#ifdef ONPC
mt19937 rnd(223);
#else
mt19937 rnd(chrono::high_resolution_clock::now()
.time_since_epoch().count());
#endif
#define TIME (clock() * 1.0 / CLOCKS_PER_SEC)
using ll = long long;
using ld = double;
using uint = unsigned int;
using ull = unsigned long long;
template <uint MD> struct ModInt {
using M = ModInt;
uint v;
ModInt(ll _v = 0) { set_v(uint(_v % MD + MD)); }
M& set_v(uint _v) {
v = (_v < MD) ? _v : _v - MD;
return *this;
}
explicit operator bool() const { return v != 0; }
M operator-() const { return M() - *this; }
M operator+(const M& r) const { return M().set_v(v + r.v); }
M operator-(const M& r) const { return M().set_v(v + MD - r.v); }
M operator*(const M& r) const { return M().set_v(uint((ull)v * r.v % MD)); }
M operator/(const M& r) const { return *this * r.inv(); }
M& operator+=(const M& r) { return *this = *this + r; }
M& operator-=(const M& r) { return *this = *this - r; }
M& operator*=(const M& r) { return *this = *this * r; }
M& operator/=(const M& r) { return *this = *this / r; }
bool operator==(const M& r) const { return v == r.v; }
bool operator!=(const M& r) const { return v != r.v; }
M inv() const;
friend istream& operator>>(istream& is, M& r) { ll x; is >> x; r = M(x); return is; }
friend ostream& operator<<(ostream& os, const M& r) { return os << r.v; }
};
template<uint MD>
ModInt<MD> pow(ModInt<MD> x, ll n) {
ModInt<MD> r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
template<uint MD>
ModInt<MD> ModInt<MD>::inv() const { return pow(*this, MD - 2); }
using Mint = ModInt<int(1e9) + 7>;
// using Mint = double;
const int maxn = 1e6 + 100, inf = 1e9 + 100;
Mint pwk[maxn], pw2[maxn];
Mint ak[maxn], f[maxn], of[maxn];
void solve() {
int n, m, K;
cin >> n >> m >> K;
pwk[0] = 1;
pw2[0] = 1;
ak[0] = 1;
f[0] = 1;
for (int i = 1; i <= n; i++) {
pw2[i] = pw2[i - 1] * 2;
pwk[i] = pwk[i - 1] * K;
f[i] = f[i - 1] * i;
ak[i] = ak[i - 1] * (K - i + 1);
}
of[n] = Mint(1) / f[n];
for (int i = n - 1; i >= 0; i--) {
of[i] = of[i + 1] * (i + 1);
}
auto choose = [&](int k, int l) -> Mint {
if (k < 0)
return 0;
// Mint z = 1;
// for (int i = 0; i < l; i++)
// z *= (k - i);
// return z;
// (k .. k-l+1)
return ak[K - k + l] / ak[K - k];
};
auto get_ms = [&](int k, int l) -> Mint {
if (k < 0)
return 0;
Mint w = 0;
for (int s = 0; 2 * s <= l; s++) {
w += f[l] / pw2[s] * choose(k, l - s) / f[l - s] * f[l - s] / f[s] / f[l - 2 * s];
}
return w;
};
auto fi = [&](int k, int j) -> Mint {
int kpw = n - ((j + 1) * (m - k) + k);
if (kpw < 0)
return 0;
int le = (m - k) * j;
int re = n - m;
return pwk[kpw] * max(0, re - le + 1);
};
Mint ans = 0;
Mint totm = get_ms(K, m);
for (int k = 1; 2 * k <= m; k++) {
Mint cur_ms = choose(K, k) * get_ms(K - k, m - 2 * k);
totm -= cur_ms;
for (int j = 0; (2 * j + 1) * (m - k) + k <= n; j++) {
ans += cur_ms * (fi(k, 2 * j) - fi(k, 2 * j + 1));
}
}
{
// k = 0
ans += Mint(n - m + 1) * totm * pwk[n - m];
}
cout << ans << '\n';
}
int main() {
#ifdef ONPC
freopen("../a.in", "r", stdin);
// freopen("../a.out", "w", stdout);
#endif
ios::sync_with_stdio(0);
cin.tie(0);
cout << fixed;
cout.precision(20);
solve();
cerr << "\n\nConsumed " << TIME << endl;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 23496kb
input:
4 2 3
output:
228
result:
ok 1 number(s): "228"
Test #2:
score: 0
Accepted
time: 255ms
memory: 23424kb
input:
999999 1999 12345678
output:
52352722
result:
ok 1 number(s): "52352722"
Test #3:
score: 0
Accepted
time: 4ms
memory: 23456kb
input:
7 4 2
output:
182
result:
ok 1 number(s): "182"
Test #4:
score: 0
Accepted
time: 0ms
memory: 23468kb
input:
4 3 4
output:
480
result:
ok 1 number(s): "480"
Test #5:
score: 0
Accepted
time: 0ms
memory: 23516kb
input:
3 1 1
output:
3
result:
ok 1 number(s): "3"
Test #6:
score: 0
Accepted
time: 0ms
memory: 23444kb
input:
5 5 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 0ms
memory: 23272kb
input:
7 4 3
output:
5784
result:
ok 1 number(s): "5784"
Test #8:
score: 0
Accepted
time: 0ms
memory: 23420kb
input:
5 2 4
output:
3932
result:
ok 1 number(s): "3932"
Test #9:
score: 0
Accepted
time: 0ms
memory: 23484kb
input:
8 2 2
output:
1522
result:
ok 1 number(s): "1522"
Test #10:
score: 0
Accepted
time: 3ms
memory: 23492kb
input:
8 1 2
output:
2048
result:
ok 1 number(s): "2048"
Test #11:
score: 0
Accepted
time: 0ms
memory: 23496kb
input:
7 5 3
output:
2430
result:
ok 1 number(s): "2430"
Test #12:
score: 0
Accepted
time: 6ms
memory: 23424kb
input:
10 4 3
output:
272004
result:
ok 1 number(s): "272004"
Test #13:
score: 0
Accepted
time: 8ms
memory: 23472kb
input:
675978 614 2
output:
0
result:
ok 1 number(s): "0"
Test #14:
score: 0
Accepted
time: 0ms
memory: 23476kb
input:
244613 38 1
output:
0
result:
ok 1 number(s): "0"
Test #15:
score: 0
Accepted
time: 4ms
memory: 23488kb
input:
186293 1462 1
output:
0
result:
ok 1 number(s): "0"
Test #16:
score: 0
Accepted
time: 6ms
memory: 23356kb
input:
24867 886 1
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 16ms
memory: 23472kb
input:
976164 1014 2
output:
0
result:
ok 1 number(s): "0"
Test #18:
score: 0
Accepted
time: 3ms
memory: 23492kb
input:
179356 2 716844809
output:
577866092
result:
ok 1 number(s): "577866092"
Test #19:
score: 0
Accepted
time: 11ms
memory: 23492kb
input:
621001 130 310625363
output:
892869197
result:
ok 1 number(s): "892869197"
Test #20:
score: 0
Accepted
time: 55ms
memory: 23424kb
input:
678862 850 754662812
output:
582264789
result:
ok 1 number(s): "582264789"
Test #21:
score: 0
Accepted
time: 68ms
memory: 23420kb
input:
650845 978 348443366
output:
825425732
result:
ok 1 number(s): "825425732"
Test #22:
score: 0
Accepted
time: 27ms
memory: 23468kb
input:
669914 402 87448112
output:
318098088
result:
ok 1 number(s): "318098088"
Test #23:
score: 0
Accepted
time: 35ms
memory: 23492kb
input:
998593 530 681228665
output:
408255654
result:
ok 1 number(s): "408255654"
Test #24:
score: 0
Accepted
time: 228ms
memory: 23452kb
input:
369361 1954 125266115
output:
509912384
result:
ok 1 number(s): "509912384"
Test #25:
score: 0
Accepted
time: 130ms
memory: 23444kb
input:
900226 1378 424079373
output:
406320917
result:
ok 1 number(s): "406320917"
Test #26:
score: 0
Accepted
time: 146ms
memory: 23448kb
input:
334887 1506 17859926
output:
503264679
result:
ok 1 number(s): "503264679"
Test #27:
score: 0
Accepted
time: 31ms
memory: 23400kb
input:
936048 544 53978328
output:
548647866
result:
ok 1 number(s): "548647866"
Test #28:
score: 0
Accepted
time: 99ms
memory: 23424kb
input:
152789 1264 792983073
output:
839541707
result:
ok 1 number(s): "839541707"
Test #29:
score: 0
Accepted
time: 129ms
memory: 23472kb
input:
714493 1392 91796331
output:
721071046
result:
ok 1 number(s): "721071046"
Test #30:
score: 0
Accepted
time: 44ms
memory: 23248kb
input:
269571 816 830801077
output:
330064211
result:
ok 1 number(s): "330064211"
Test #31:
score: 0
Accepted
time: 66ms
memory: 23392kb
input:
845120 944 424581630
output:
348960190
result:
ok 1 number(s): "348960190"
Test #32:
score: 0
Accepted
time: 15ms
memory: 23400kb
input:
533990 368 163586376
output:
522092095
result:
ok 1 number(s): "522092095"
Test #33:
score: 0
Accepted
time: 196ms
memory: 23424kb
input:
181707 1792 462399634
output:
373795106
result:
ok 1 number(s): "373795106"
Test #34:
score: 0
Accepted
time: 225ms
memory: 23472kb
input:
417349 1920 761212891
output:
587051329
result:
ok 1 number(s): "587051329"
Test #35:
score: 0
Accepted
time: 118ms
memory: 23424kb
input:
526583 1344 500217637
output:
108767800
result:
ok 1 number(s): "108767800"
Test #36:
score: 0
Accepted
time: 48ms
memory: 23480kb
input:
867054 769 93998191
output:
239123369
result:
ok 1 number(s): "239123369"
Extra Test:
score: 0
Extra Test Passed