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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#79425#5532. Kangarooalpha1022100 ✓2ms3868kbC++172.7kb2023-02-20 08:18:412023-02-20 08:18:42

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-02-20 08:18:42]
  • 评测
  • 测评结果:100
  • 用时:2ms
  • 内存:3868kb
  • [2023-02-20 08:18:41]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

using ll = long long;

const int mod = 1e9 + 7;
int norm(int x) { return x >= mod ? x - mod : x; }
int reduce(int x) { return x < 0 ? x + mod : x; }
int neg(int x) { return x ? mod - x : 0; }
int quo2(int x) { return (x + (x & 1 ? mod : 0)) >> 1; }
void add(int &x, int y) { if ((x += y - mod) < 0) x += mod; }
void sub(int &x, int y) { if ((x -= y) < 0) x += mod; }
int mpow(int a, int b) {
  int ret = 1;
  for (; b; b >>= 1) {
    if (b & 1) ret = (ll)ret * a % mod;
    a = (ll)a * a % mod;
  }
  return ret;
}

const int N = 2e3 + 2;

int n, s, t;
int a, b, c;

bool vis[N + 5];
int prime[N + 5], cnt;
int aPool[N + 5], bPool[N + 5], cPool[N + 5];
int *aPow = aPool + 1, *bPow = bPool + 1, *cPow = cPool + 1;
int fac[N + 5], ifac[N + 5];
int binom(int n, int m) { return n < m || n < 0 ? 0 : (ll)fac[n] * ifac[m] % mod * ifac[n - m] % mod; }
int f[N + 5], delta0, delta1;
int ans;

int main() {
  scanf("%d%d%d", &n, &s, &t);
  if (s == t) { puts("0"); return 0; }
  if (s < t) swap(s, t);
  a = t - 1, b = s - t - 1, c = n - s, n -= 2;

  aPow[-1] = a & 1 ? mod - 1 : 1, bPow[-1] = b & 1 ? mod - 1 : 1, cPow[-1] = c & 1 ? mod - 1 : 1,
  aPow[0] = !a, bPow[0] = !b, cPow[0] = !c,
  aPow[1] = bPow[1] = cPow[1] = 1;
  for (int i = 2; i <= n + 1; ++i) {
    if (!vis[i]) prime[++cnt] = i, aPow[i] = mpow(i, a), bPow[i] = mpow(i, b), cPow[i] = mpow(i, c);
    for (int j = 1; j <= cnt && i * prime[j] <= n; ++j) {
      vis[i * prime[j]] = 1,
      aPow[i * prime[j]] = (ll)aPow[i] * aPow[prime[j]] % mod,
      bPow[i * prime[j]] = (ll)bPow[i] * bPow[prime[j]] % mod,
      cPow[i * prime[j]] = (ll)cPow[i] * cPow[prime[j]] % mod;
      if (!(i % prime[j])) break;
    }
  }
  fac[0] = 1;
  for (int i = 1; i <= n + 2; ++i) fac[i] = (ll)fac[i - 1] * i % mod;
  ifac[n + 2] = mpow(fac[n + 2], mod - 2);
  for (int i = n + 2; i; --i) ifac[i - 1] = (ll)ifac[i] * i % mod;
  for (int i = 0; i <= n + 2; ++i) {
    if (i) sub(f[i], f[i - 1]);
    if (i > 1) sub(f[i], quo2(f[i - 2]));
    if (i <= 1) add(f[i], 1);
    if (i == n + 1) delta0 = neg(f[i]), f[i] = 0;
    if (i == n + 2) delta1 = neg(f[i]);
  }

  for (int i = 0; i <= n; ++i) {
    f[i] = ((ll)(mod - delta0) * binom(n + 1, i) + (ll)delta1 * binom(n + 2, i)) % mod;
    if ((n ^ i) & 1) f[i] = neg(f[i]);
    if (i == 1) add(f[i], 1);
    if (i > 1) sub(f[i], f[i - 2]);
    if (n & 1) ans = (ans + ((ll)(mod - aPow[i + 1]) * cPow[i + 1] + (ll)aPow[i - 1] * cPow[i - 1]) % mod * bPow[i] % mod * f[i]) % mod;
    else ans = (ans + ((ll)aPow[i + 1] * cPow[i - 1] + (ll)aPow[i - 1] * cPow[i + 1]) % mod * bPow[i] % mod * f[i]) % mod;
  }
  if (((n + 1) >> 1) & 1) ans = neg(ans);
  printf("%d\n", ans);
}

详细

Subtask #1:

score: 6
Accepted

Test #1:

score: 6
Accepted
time: 2ms
memory: 3604kb

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: 2ms
memory: 3856kb

input:

39 36 32

output:

964903316

result:

ok 1 number(s): "964903316"

Test #3:

score: 0
Accepted
time: 2ms
memory: 3848kb

input:

26 1 26

output:

955348527

result:

ok 1 number(s): "955348527"

Test #4:

score: 0
Accepted
time: 2ms
memory: 3828kb

input:

40 11 33

output:

695661890

result:

ok 1 number(s): "695661890"

Test #5:

score: 0
Accepted
time: 2ms
memory: 3660kb

input:

39 39 38

output:

717149364

result:

ok 1 number(s): "717149364"

Test #6:

score: 0
Accepted
time: 2ms
memory: 3572kb

input:

40 10 25

output:

912929610

result:

ok 1 number(s): "912929610"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

37 25 23

output:

250748685

result:

ok 1 number(s): "250748685"

Test #8:

score: 0
Accepted
time: 2ms
memory: 3560kb

input:

39 2 38

output:

624060592

result:

ok 1 number(s): "624060592"

Test #9:

score: 0
Accepted
time: 2ms
memory: 3616kb

input:

40 18 22

output:

739993796

result:

ok 1 number(s): "739993796"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3652kb

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: 2ms
memory: 3836kb

input:

199 100 70

output:

914653136

result:

ok 1 number(s): "914653136"

Test #12:

score: 0
Accepted
time: 2ms
memory: 3860kb

input:

187 3 40

output:

928785584

result:

ok 1 number(s): "928785584"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

199 198 197

output:

38412688

result:

ok 1 number(s): "38412688"

Test #14:

score: 0
Accepted
time: 2ms
memory: 3840kb

input:

200 40 140

output:

367088143

result:

ok 1 number(s): "367088143"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

199 111 3

output:

870834793

result:

ok 1 number(s): "870834793"

Test #16:

score: 0
Accepted
time: 2ms
memory: 3688kb

input:

200 133 73

output:

343127012

result:

ok 1 number(s): "343127012"

Test #17:

score: 0
Accepted
time: 2ms
memory: 3716kb

input:

178 15 163

output:

160852284

result:

ok 1 number(s): "160852284"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

197 43 79

output:

332057544

result:

ok 1 number(s): "332057544"

Test #19:

score: 0
Accepted
time: 2ms
memory: 3652kb

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: 3868kb

input:

658 169 438

output:

206087110

result:

ok 1 number(s): "206087110"

Test #21:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

700 207 509

output:

478311263

result:

ok 1 number(s): "478311263"

Test #22:

score: 0
Accepted
time: 2ms
memory: 3676kb

input:

755 139 507

output:

103783948

result:

ok 1 number(s): "103783948"

Test #23:

score: 0
Accepted
time: 2ms
memory: 3840kb

input:

2000 500 1500

output:

123410309

result:

ok 1 number(s): "123410309"

Test #24:

score: 0
Accepted
time: 2ms
memory: 3640kb

input:

2000 1000 1001

output:

956197482

result:

ok 1 number(s): "956197482"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

2000 666 1333

output:

993781645

result:

ok 1 number(s): "993781645"

Test #26:

score: 0
Accepted
time: 2ms
memory: 3628kb

input:

1991 198 677

output:

155058730

result:

ok 1 number(s): "155058730"

Test #27:

score: 0
Accepted
time: 2ms
memory: 3692kb

input:

1498 299 659

output:

665757882

result:

ok 1 number(s): "665757882"