#include <algorithm> #include <bitset> #include <iostream> #include <list> #include <map> #include <queue> #include <set> #include <string> #include <vector> using namespace std; #define PB push_back #define MP make_pair #define F first #define S second #define ALL(x) (x).begin(),(x).end() #define SIZE(x) (int)(x).size() #define CLEAR(tab) memset(tab, 0, sizeof(tab)) #define REP(x, n) for(int x = 0; x < (n); x++) #define FOR(x, b, e) for(int x = (b); x <= (e); x++) #define FORD(x, b, e) for(int x = (b); x >= (e); x--) #define VAR(v, n) __typeof(n) v = (n) #define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define DEBUG(fmt, ...) fprintf(stderr, fmt, ##__VA_ARGS__) typedef long long int LL; typedef pair<int,int> PII; typedef vector<int> VI; const int MXN = 2000100; const int C = 262144; const int INF = 1000000001; const int MOD = 1000000007; int a, b, c, p; LL fac[MXN]; LL pot(LL a, LL n) { LL res = 1; a %= p; while(n) { if(n & 1) res = (res * a) % p; a = (a * a) % p; n /= 2; } return res; } void wzorek() { int n = a * b; LL facn = 1; FOR(i, 2, n) facn = (facn * i) % p; LL w = 1; FOR(i, 1, a) FOR(j, 1, b) { LL tmp = (a - i) + (b - j) + 1; w = (w * tmp) % p; } LL w_inw = pot(w, p - 2); LL res = (facn * w_inw) % p; res = (res * res) % p; printf("%d %lld", n, res); } VI LIS(VI vec) { int n = SIZE(vec); VI res(n, 1); FOR(i, 0, n - 1) FOR(j, 0, i - 1) if(vec[j] < vec[i]) res[i] = max(res[i], res[j] + 1); return res; } bool check(VI vec) { int n = SIZE(vec); VI lis = LIS(vec); reverse(ALL(vec)); VI lds = LIS(vec); reverse(ALL(lds)); int bit = 0; int lis_best = 0; int lds_best = 0; FOR(i, 0, n - 1) { lis_best = max(lis_best, lis[i]); lds_best = max(lds_best, lds[i]); bit = max(bit, lis[i] + lds[i] - 1); } return lis_best == a && lds_best == b && bit == c; } void brucik() { int mx = a * b; int res = 0, cnt = 0; FOR(o, 1, mx) { VI vec; int tmpCnt = 0; FOR(i, 1, o) vec.PB(i); do { if(check(vec)) tmpCnt++; } while(next_permutation(vec.begin(), vec.end())); if(tmpCnt) { res = o; cnt = tmpCnt; } } printf("%d %d\n", res, cnt); } void test() { scanf("%d %d %d %d", &a, &b, &c, &p); if(c == a + b - 1) wzorek(); else brucik(); } int main() { int te = 1; //scanf("%d", &te); while(te--) test(); return 0; }
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 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 | #include <algorithm> #include <bitset> #include <iostream> #include <list> #include <map> #include <queue> #include <set> #include <string> #include <vector> using namespace std; #define PB push_back #define MP make_pair #define F first #define S second #define ALL(x) (x).begin(),(x).end() #define SIZE(x) (int)(x).size() #define CLEAR(tab) memset(tab, 0, sizeof(tab)) #define REP(x, n) for(int x = 0; x < (n); x++) #define FOR(x, b, e) for(int x = (b); x <= (e); x++) #define FORD(x, b, e) for(int x = (b); x >= (e); x--) #define VAR(v, n) __typeof(n) v = (n) #define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define DEBUG(fmt, ...) fprintf(stderr, fmt, ##__VA_ARGS__) typedef long long int LL; typedef pair<int,int> PII; typedef vector<int> VI; const int MXN = 2000100; const int C = 262144; const int INF = 1000000001; const int MOD = 1000000007; int a, b, c, p; LL fac[MXN]; LL pot(LL a, LL n) { LL res = 1; a %= p; while(n) { if(n & 1) res = (res * a) % p; a = (a * a) % p; n /= 2; } return res; } void wzorek() { int n = a * b; LL facn = 1; FOR(i, 2, n) facn = (facn * i) % p; LL w = 1; FOR(i, 1, a) FOR(j, 1, b) { LL tmp = (a - i) + (b - j) + 1; w = (w * tmp) % p; } LL w_inw = pot(w, p - 2); LL res = (facn * w_inw) % p; res = (res * res) % p; printf("%d %lld", n, res); } VI LIS(VI vec) { int n = SIZE(vec); VI res(n, 1); FOR(i, 0, n - 1) FOR(j, 0, i - 1) if(vec[j] < vec[i]) res[i] = max(res[i], res[j] + 1); return res; } bool check(VI vec) { int n = SIZE(vec); VI lis = LIS(vec); reverse(ALL(vec)); VI lds = LIS(vec); reverse(ALL(lds)); int bit = 0; int lis_best = 0; int lds_best = 0; FOR(i, 0, n - 1) { lis_best = max(lis_best, lis[i]); lds_best = max(lds_best, lds[i]); bit = max(bit, lis[i] + lds[i] - 1); } return lis_best == a && lds_best == b && bit == c; } void brucik() { int mx = a * b; int res = 0, cnt = 0; FOR(o, 1, mx) { VI vec; int tmpCnt = 0; FOR(i, 1, o) vec.PB(i); do { if(check(vec)) tmpCnt++; } while(next_permutation(vec.begin(), vec.end())); if(tmpCnt) { res = o; cnt = tmpCnt; } } printf("%d %d\n", res, cnt); } void test() { scanf("%d %d %d %d", &a, &b, &c, &p); if(c == a + b - 1) wzorek(); else brucik(); } int main() { int te = 1; //scanf("%d", &te); while(te--) test(); return 0; } |