#include <iostream>
#include <vector>
#include <algorithm>
const long long MODULO_NUM = 1000000007;
int n;
long long m;
long long modulo_power(long long base, int exponent)
{
if (exponent == 0)
return 1ll;
else if (exponent == 1)
return base % MODULO_NUM;
else
{
long long result = (modulo_power(base, exponent / 2) % MODULO_NUM) * (modulo_power(base, exponent / 2) % MODULO_NUM) % MODULO_NUM;
if (exponent % 2 == 1)
{
result = (result * (base % MODULO_NUM)) % MODULO_NUM;
}
return result;
}
}
std::vector<std::vector<int>> memotable;
long long dp(int current_position, long long how_many_intervals_were_before)
{
int result = 0;
if (current_position == n)
return 1;
if (how_many_intervals_were_before == m)
return 0;
if (memotable[current_position][how_many_intervals_were_before] != -1)
return memotable[current_position][how_many_intervals_were_before];
for (int i = 1; i < n - current_position; i++)
{
result += (modulo_power(m - how_many_intervals_were_before, i) % MODULO_NUM) * (dp(current_position + i + 1, how_many_intervals_were_before + 1) % MODULO_NUM) % MODULO_NUM;
result %= MODULO_NUM;
}
memotable[current_position][how_many_intervals_were_before] = result;
return result;
}
int main()
{
scanf("%d %lld", &n, &m);
memotable.resize(n);
for (int i = 0; i < n; i++)
{
memotable[i].assign(n, -1);
}
int result = dp(0, 0);
printf("%d\n", result);
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 | #include <iostream> #include <vector> #include <algorithm> const long long MODULO_NUM = 1000000007; int n; long long m; long long modulo_power(long long base, int exponent) { if (exponent == 0) return 1ll; else if (exponent == 1) return base % MODULO_NUM; else { long long result = (modulo_power(base, exponent / 2) % MODULO_NUM) * (modulo_power(base, exponent / 2) % MODULO_NUM) % MODULO_NUM; if (exponent % 2 == 1) { result = (result * (base % MODULO_NUM)) % MODULO_NUM; } return result; } } std::vector<std::vector<int>> memotable; long long dp(int current_position, long long how_many_intervals_were_before) { int result = 0; if (current_position == n) return 1; if (how_many_intervals_were_before == m) return 0; if (memotable[current_position][how_many_intervals_were_before] != -1) return memotable[current_position][how_many_intervals_were_before]; for (int i = 1; i < n - current_position; i++) { result += (modulo_power(m - how_many_intervals_were_before, i) % MODULO_NUM) * (dp(current_position + i + 1, how_many_intervals_were_before + 1) % MODULO_NUM) % MODULO_NUM; result %= MODULO_NUM; } memotable[current_position][how_many_intervals_were_before] = result; return result; } int main() { scanf("%d %lld", &n, &m); memotable.resize(n); for (int i = 0; i < n; i++) { memotable[i].assign(n, -1); } int result = dp(0, 0); printf("%d\n", result); } |
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