#include "bits/stdc++.h" // Tomasz Nowak
using namespace std; // University of Warsaw
using LL = long long;
#define FOR(i, l, r) for(int i = (l); i <= (r); ++i)
#define REP(i, n) FOR(i, 0, (n) - 1)
#define ssize(x) int(x.size())
template<class A, class B> auto& operator<<(ostream &o, pair<A, B> p) {
return o << '(' << p.first << ", " << p.second << ')';
}
template<class T> auto operator<<(ostream &o, T x) -> decltype(x.end(), o) {
o << '{'; int i = 0; for(auto e : x) o << (", ")+2*!i++ << e; return o << '}';
}
#ifdef DEBUG
#define debug(x...) cerr << "[" #x "]: ", [](auto... $) {((cerr << $ << "; "), ...); }(x), cerr << '\n'
#else
#define debug(...) {}
#endif
constexpr int mod = int(1e9) + 7;
int add(int a, int b) {
a += b;
return a >= mod ? a - mod : a;
}
int mul(int a, int b) {
return int((a * LL(b)) % mod);
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int n, m;
cin >> n >> m;
array<vector<int>, 2> prev, curr;
for(auto *a : {&prev, &curr})
for(auto &v : *a)
v.resize(min(n, m) + 1);
curr[1][0] = 1;
FOR(len, 1, n) {
swap(prev, curr);
for(auto &v : curr)
fill(v.begin(), v.end(), 0);
FOR(good_cnt, 1, min(n, m)) {
curr[1][good_cnt] = add(
mul(prev[0][good_cnt], good_cnt),
mul(prev[1][good_cnt], good_cnt)
);
curr[0][good_cnt] = add(
mul(prev[0][good_cnt], m - good_cnt),
mul(prev[1][good_cnt - 1], m - good_cnt + 1)
);
debug(len, good_cnt, prev[1][good_cnt - 1], m - good_cnt + 1, curr[0][good_cnt]);
}
debug(len, curr, prev);
}
int answer = 0;
FOR(good_cnt, 1, min(n, m))
answer = add(answer, curr[1][good_cnt]);
cout << answer << '\n';
}
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 57 58 59 60 61 62 63 64 | #include "bits/stdc++.h" // Tomasz Nowak using namespace std; // University of Warsaw using LL = long long; #define FOR(i, l, r) for(int i = (l); i <= (r); ++i) #define REP(i, n) FOR(i, 0, (n) - 1) #define ssize(x) int(x.size()) template<class A, class B> auto& operator<<(ostream &o, pair<A, B> p) { return o << '(' << p.first << ", " << p.second << ')'; } template<class T> auto operator<<(ostream &o, T x) -> decltype(x.end(), o) { o << '{'; int i = 0; for(auto e : x) o << (", ")+2*!i++ << e; return o << '}'; } #ifdef DEBUG #define debug(x...) cerr << "[" #x "]: ", [](auto... $) {((cerr << $ << "; "), ...); }(x), cerr << '\n' #else #define debug(...) {} #endif constexpr int mod = int(1e9) + 7; int add(int a, int b) { a += b; return a >= mod ? a - mod : a; } int mul(int a, int b) { return int((a * LL(b)) % mod); } int main() { cin.tie(0)->sync_with_stdio(0); int n, m; cin >> n >> m; array<vector<int>, 2> prev, curr; for(auto *a : {&prev, &curr}) for(auto &v : *a) v.resize(min(n, m) + 1); curr[1][0] = 1; FOR(len, 1, n) { swap(prev, curr); for(auto &v : curr) fill(v.begin(), v.end(), 0); FOR(good_cnt, 1, min(n, m)) { curr[1][good_cnt] = add( mul(prev[0][good_cnt], good_cnt), mul(prev[1][good_cnt], good_cnt) ); curr[0][good_cnt] = add( mul(prev[0][good_cnt], m - good_cnt), mul(prev[1][good_cnt - 1], m - good_cnt + 1) ); debug(len, good_cnt, prev[1][good_cnt - 1], m - good_cnt + 1, curr[0][good_cnt]); } debug(len, curr, prev); } int answer = 0; FOR(good_cnt, 1, min(n, m)) answer = add(answer, curr[1][good_cnt]); cout << answer << '\n'; } |
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