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############################################################################### from sys import stdout from bisect import bisect_left as binl from copy import copy, deepcopy from collections import defaultdict import math mod = 1 def intin(): input_tuple = input().split() if len(input_tuple) ...
############################################################################### from sys import stdout from bisect import bisect_left as binl from copy import copy, deepcopy from collections import defaultdict import math mod = 1 def intin(): input_tuple = input().split() if len(input_tuple) ...
p03039
def cmb(n, r, mod): if ( r<0 or r>n ): return 0 r = min(r, n-r) return g1[n] * g2[r] * g2[n-r] % mod mod = 10**9+7 #出力の制限 N = 10**6 g1 = [1, 1] # 元テーブル g2 = [1, 1] #逆元テーブル inverse = [0, 1] #逆元テーブル計算用テーブル for i in range( 2, N + 1 ): g1.append( ( g1[-1] * i ) % mod ) inverse.ap...
def main(): def cmb(n, r, mod): if ( r<0 or r>n ): return 0 r = min(r, n-r) return g1[n] * g2[r] * g2[n-r] % mod mod = 10**9+7 #出力の制限 N = 10**6 g1 = [1, 1] # 元テーブル g2 = [1, 1] #逆元テーブル inverse = [0, 1] #逆元テーブル計算用テーブル ...
p03039
def egcd(a, b): (x, lastx) = (0, 1) (y, lasty) = (1, 0) while b != 0: q = a // b (a, b) = (b, a % b) (x, lastx) = (lastx - q * x, x) (y, lasty) = (lasty - q * y, y) return (lastx, lasty, a) # ax ≡ 1 (mod m)なるxを返す def modinv(a): m=MOD (inv, q, gcd_val...
def modinv(a): b=MOD (x, lastx) = (0, 1) (y, lasty) = (1, 0) while b != 0: q = a // b (a, b) = (b, a % b) (x, lastx) = (lastx - q * x, x) (y, lasty) = (lasty - q * y, y) return lastx%MOD MOD=10**9+7 N,M,K=list(map(int,input().split())) b=1 for i in ra...
p03039
def modinv(a): b=MOD (x, lastx) = (0, 1) (y, lasty) = (1, 0) while b != 0: q = a // b (a, b) = (b, a % b) (x, lastx) = (lastx - q * x, x) (y, lasty) = (lasty - q * y, y) return lastx%MOD MOD=10**9+7 N,M,K=list(map(int,input().split())) b=1 for i in ra...
def comb(n, k): x, y = 1, 1 k = min(k, n-k) for i in range(k): x *= n - i x %= MOD y *= i + 1 y %= MOD return x*pow(y, MOD-2, MOD) % MOD def modinv(a): b=MOD (x, lastx) = (0, 1) (y, lasty) = (1, 0) while b != 0: q = a // b ...
p03039
def comb(n, k): x, y = 1, 1 k = min(k, n-k) for i in range(k): x *= n - i x %= MOD y *= i + 1 y %= MOD return x*pow(y, MOD-2, MOD) % MOD def modinv(a): b=MOD (x, lastx) = (0, 1) (y, lasty) = (1, 0) while b != 0: q = a // b ...
def comb(n, k): x, y = 1, 1 k = min(k, n-k) for i in range(k): x *= n - i x %= MOD y *= i + 1 y %= MOD return x*modinv(y) % MOD def modinv(a): b=MOD (x, lastx) = (0, 1) (y, lasty) = (1, 0) while b != 0: q = a // b (a, b) = ...
p03039
def cmb(a,b,c): b = min(b,a-b) num = 1 for i in range(b): num = num*(a-i) % c den = 1 for i in range(b): den = den*(i+1) % c return num * pow(den,c-2,c) % c n,m,k = list(map(int,input().split())) mod = 10**9+7 ans = 0 for i in range(1,n): ans += i*(n-i)*m**2*cmb(...
def cmb(a,b,c): b = min(b,a-b) num = 1 for i in range(b): num = num*(a-i) % c den = 1 for i in range(b): den = den*(i+1) % c return num * pow(den,c-2,c) % c n,m,k = list(map(int,input().split())) mod = 10**9+7 ans = 0 C = cmb(n*m-2,k-2,mod) for i in range(1,n): ...
p03039
N,M,K=list(map(int,input().split())) import math def com(n, r): return math.factorial(n) // (math.factorial(n - r) * math.factorial(r)) A=com(M*N-2, K-2) MOD=10**9+7 ans=0 for d in range(1,N): ans+=d*(N-d)*M*M*A%MOD for d in range(1,M): ans+=d*(M-d)*N*N*A%MOD print((ans%MOD))
N,M,K=list(map(int,input().split())) def cmb(x,y): X=1 Y=1 for i in range(1,y+1): X= X*(x+1-i)%MOD Y= Y*i%MOD return (X*pow(Y,MOD-2,MOD))%MOD MOD=10**9+7 A=cmb(M*N-2, K-2) ans=0 for d in range(1,N): ans+=d*(N-d)*M*M*A%MOD for d in range(1,M): ans+=d*(M-d)*N*N*A%MOD print((ans%MOD))
p03039
n,m,k=list(map(int,input().split())) mod=10**9+7 f=[1] for i in range(2*10**5+7):f+=[f[-1]*(i+1)%mod] def comb(a,b):return f[a]*pow(f[b],mod-2,mod)*pow(f[a-b],mod-2,mod)%mod ans=0 for i in range(1,n): ans+=(i*(n-i)*m**2)*(comb(n*m-2,k-2)) ans%=mod for i in range(1,m): ans+=(i*(m-i)*n**2)*(comb(n*m-2,k-2...
n,m,k=list(map(int,input().split())) mod = 10**9+7 f = [1] for i in range(n*m): f += [f[-1]*(i+1) % mod] def comb(a, b): return f[a]*pow(f[b], mod-2, mod)*pow(f[a-b], mod-2, mod) % mod ans=0 for dist in range(1,n): c=n-dist p=(c*m*m)%mod ans+=p*dist for dist in range(1,m): c=m-dist p=(c*...
p03039
import math MOD = int(10**9 + 7) def egcd(a, b): if a == 0: return (b, 0, 1) else: g, y, x = egcd(b%a, a) return (g, x - (b//a) * y, y) def modinv(a, m): g, x, y = egcd(a, m) if g != 1: raise Exception("No inverse exists") else: return x % ...
import math MOD = int(10**9 + 7) def egcd(a, b): if a == 0: return (b, 0, 1) else: g, y, x = egcd(b%a, a) return (g, x - (b//a) * y, y) def modinv(a, m): g, x, y = egcd(a, m) if g != 1: raise Exception("No inverse exists") else: return x % ...
p03039
import sys input = sys.stdin.readline import math N, M, K = [int(item) for item in input().split()] mod = 10**9 + 7 total = 0 for d in range(1, N): score = (N - d) * M**2 * d score %= mod for i in range(2, K): score *= ((N * M - i) % mod * pow(K - i, mod - 2, mod)) score %= mo...
import sys input = sys.stdin.readline import math N, M, K = [int(item) for item in input().split()] mod = 10**9 + 7 score_c = 1 for i in range(2, K): score_c *= ((N * M - i) % mod * pow(K - i, mod - 2, mod)) score_c %= mod total = 0 for d in range(1, N): score = (N - d) * M**2 * d * score_c...
p03039
MOD = 10**9+7 N,M,K = list(map(int,input().split())) U = N*M fact = [1]*(U+1) for i in range(1,U+1): fact[i] = (fact[i-1]*i)%MOD def comb(n,k): x = fact[n] x *= pow(fact[n-k],MOD-2,MOD) x %= MOD x *= pow(fact[k],MOD-2,MOD) return x res = 0 for i in range(1,N): res += i*...
mod = 10**9 + 7 n,m,k = list(map(int,input().split())) nm = n*m f = [1]*(nm+1) for i in range(1,nm+1): f[i] = (f[i-1]*i)%mod def C(n,k): x = f[n] x *= pow(f[n-k],mod-2,mod) x %= mod x *= pow(f[k],mod-2,mod) x %= mod return x def F(n): x = n*n*(n+1)//2 y = n*(n+1)*(2*n+...
p03039
from operator import mul from functools import reduce def cmb(n,r): r = min(n-r,r) if r == 0: return 1 over = reduce(mul, list(range(n, n - r, -1))) under = reduce(mul, list(range(1,r + 1))) return over // under N, M, K = list(map(int, input().split())) ans = 0 for i in range(1...
def framod(n, mod, a=1): for i in range(1,n+1): a=a * i % mod return a def power(n, r, mod): if r == 0: return 1 if r%2 == 0: return power(n*n % mod, r//2, mod) % mod if r%2 == 1: return n * power(n, r-1, mod) % mod def comb(n, k, mod): a=framod(n, mod) ...
p03039
MOD = 10**9 + 7 N, M, K = list(map(int, input().split())) invs = [1] * (K-1) for x in range(2, K-1): invs[x] = (-(MOD//x) * invs[MOD%x]) % MOD C = 1 for x in range(N*M-K+1, N*M-1): C *= x C %= MOD for x in range(1, K-1): C *= invs[x] C %= MOD ans1 = 0 for d in range(1, N): ...
MOD = 10**9 + 7 N, M, K = list(map(int, input().split())) def getComb(n, k, MOD): if n < k: return 0 if n-k < k: k = n-k comb = 1 for x in range(n-k+1, n+1): comb = (comb * x) % MOD d = 1 for x in range(1, k+1): d = (d * x) % MOD comb *= pow(d...
p03039
import math N, M, K = (int(x) for x in input().split()) def nCm(n,m): if m < 0 or m > n: return 0 nf = math.factorial(n) nm = math.factorial(m) nm2 = math.factorial(n-m) return (nf//nm//nm2) % 1000000007 c_sum = (M*(N-1)*N*(N+1)*M+N*(M-1)*M*(M+1)*N)//3 c_sum = c_sum//2 c_sum...
import math N, M, K = (int(x) for x in input().split()) def comb(n,k,p): if k < 0 or k > n: return 0 if n == 0 or k == 0: return 1 a=math.factorial(n) % p b=math.factorial(k) % p c=math.factorial(n-k) % p return (a*mypow(b,p-2,p)*mypow(c,p-2,p)) % p def mypow(a,b...
p03039
import math N, M, K = (int(x) for x in input().split()) def nCm(n,m): if m < 0 or m > n: return 0 nf = math.factorial(n) nm = math.factorial(m) nm2 = math.factorial(n-m) return (nf//nm//nm2) % 1000000007 c_sum = (M*(N-1)*N*(N+1)*M+N*(M-1)*M*(M+1)*N)//3 c_sum = c_sum//2 c_sum...
import math N, M, K = (int(x) for x in input().split()) def comb(n,k,p): if k < 0 or k > n: return 0 if n == 0 or k == 0: return 1 a=math.factorial(n) % p b=math.factorial(k) % p c=math.factorial(n-k) % p return (a*mypow(b,p-2,p)*mypow(c,p-2,p)) % p def mypow(a,b...
p03039
def combi(n, r) : ret = 1 for i in range(n, n-r, -1) : ret *= i while r > 1 and ret % r == 0 : ret //= r r -= 1 return ret MOD = 10 ** 9 + 7 N, M, K = list(map(int, input().split(' '))) n, r = N * M - 2, K - 2 P = combi(n, r) % MOD ans = 0 for n i...
from math import factorial MOD = 10 ** 9 + 7 N, M, K = list(map(int, input().split(' '))) n, r = N * M - 2, K - 2 #P = factorial(n) // factorial(n-r) // factorial(r) % MOD P = factorial(n) * pow(factorial(n-r) % MOD, MOD - 2, MOD) * pow(factorial(r) % MOD, MOD - 2, MOD) ans = 0 for n in range(N) : for...
p03039
N, M, K = list(map(int, input().split())) MOD = 10**9+7 fact = [1 for i in range(N*M+1)] for i in range(2, N*M+1): fact[i] = fact[i-1] * i def comb(n, r): if n == 0 or r == 0: return 1 return fact[n] // fact[n-r] // fact[r] p = comb(N*M-2, K-2) ans = 0 for i in range(N): for j ...
from math import factorial N, M, K = list(map(int, input().split())) MOD = 10**9+7 def comb(n, r): r = n-r if n-r < r else r if r == 0: return 1 ndfact = 1 for i in range(n, n-r, -1): ndfact *= i return ndfact // factorial(r) p = comb(N*M-2, K-2) ans = 0 for i in r...
p03039
from math import factorial N, M, K = list(map(int, input().split())) MOD = 10**9+7 def comb(n, r): r = n-r if n-r < r else r if r == 0: return 1 ndfact = 1 for i in range(n, n-r, -1): ndfact *= i return ndfact // factorial(r) p = comb(N*M-2, K-2) % MOD ans = 0 for ...
from math import factorial N, M, K = list(map(int, input().split())) MOD = 10**9+7 fact = [1] * (N*M+1) for i in range(2, N*M+1): fact[i] = fact[i-1] * i % MOD def comb(n, r): r = n-r if n-r < r else r return fact[n] * pow(fact[r], MOD-2, MOD) * pow(fact[n-r], MOD-2, MOD) % MOD p = comb(N*M...
p03039
# -*- coding: utf-8 -*- import bisect import heapq import math import random import sys from collections import Counter, defaultdict, deque from decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal from functools import lru_cache, reduce from itertools import combinations, combinations_with_replacement, produc...
# -*- coding: utf-8 -*- import bisect import heapq import math import random import sys from collections import Counter, defaultdict, deque from decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal from functools import lru_cache, reduce from itertools import combinations, combinations_with_replacement, produc...
p03039
# -*- coding: utf-8 -*- import bisect import heapq import math import random import sys from collections import Counter, defaultdict, deque from decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal from functools import lru_cache, reduce from itertools import combinations, combinations_with_replacement, produc...
# -*- coding: utf-8 -*- import sys # sys.setrecursionlimit(10**6) # buff_readline = sys.stdin.buffer.readline buff_readline = sys.stdin.readline readline = sys.stdin.readline INF = 2**62-1 def read_int(): return int(buff_readline()) def read_int_n(): return list(map(int, buff_readline().spli...
p03039
def com(n,r): if n-r<r: r=n-r re=1 for i in range(n,n-r,-1): re*=i for i in range(1,r+1): re//=i return re def f(n,m,k): md = 10 ** 9 + 7 ans = 0 for d in range(1, m): ans = (ans + d * (m - d) * n * n) % md for d in range(1, n): ...
def com(n,r): re=fct[n]*pow(fct[r],md-2,md)*pow(fct[n-r],md-2,md) re%=md return re n,m,k=list(map(int,input().split())) md=10**9+7 ans=0 fct=[1]*(n*m-1) f=1 for i in range(1,n*m-1): f=f*i%md fct[i]=f for d in range(1,m): ans=(ans+d*(m-d)*n*n)%md for d in range(1,n): ans=(ans...
p03039
from math import factorial mod=10**9+7 def cmb(n, r): return factorial(n) // factorial(r) // factorial(n - r)%mod n,m,k=list(map(int,input().split())) print((((pow(m,2,mod)*cmb(n*m-2,k-2)*sum((n-i)*i%mod for i in range(1,n))%mod)+pow(n,2,mod)*cmb(n*m-2,k-2)*sum((m-i)*i%mod for i in range(1,m))%mod)%mod))
mod=10**9+7 def mod_combination(n, k, mod): def ext_gcd(a, b): if b == 0:return a, 1, 0 else:d,x,y = ext_gcd(b,a%b);x-=(a//b)*y return d,y,x p,q=1,1 for i in range(n-k+1,n+1): p=(p*i)%mod for i in range(2,k+1): q=(q*i)%mod return int(p*(ext_gcd(q, ...
p03039
# https://atcoder.jp/contests/abc127/tasks/abc127_e import itertools from collections import Counter from collections import defaultdict import bisect import math # Calculate count of combination def combination(n, r): if r == 0: return 1 a = 1 b = 1 for i in range(r): a...
# https://atcoder.jp/contests/abc127/tasks/abc127_e import itertools from collections import Counter from collections import defaultdict import bisect import math # Calculate count of combination def cmb(n, r): if n - r < r: r = n - r if r == 0: return 1 if r == 1: return n numerator = ...
p03039
import sys input = sys.stdin.readline from operator import mul from functools import reduce def cmb(n,r): r = min(n-r,r) if r == 0: return 1 over = reduce(mul, list(range(n, n - r, -1))) under = reduce(mul, list(range(1,r + 1))) return over // under N, M, K = list(map(int, input().sp...
from math import factorial def comb(n, k, mod): if n < 0 or k < 0 or n < k: return 0 if n == 0 or k == 0: return 1 a=factorial(n) % mod b=factorial(k) % mod c=factorial(n-k) % mod return (a*power_func(b, mod-2, mod)*power_func(c, mod-2, mod)) % mod def power_func(a,b,mod): ...
p03039
import itertools import sys from functools import reduce from operator import mul sys.setrecursionlimit(10000) INF = float('inf') def comb(n, r): """ scipy.misc.comb または scipy.special.comb と同じ 組み合わせの数 nCr :param int n: :param int r: :rtype: int """ assert n >= r ...
import math import sys sys.setrecursionlimit(10000) INF = float('inf') def inv(x): return pow(x, MOD - 2, MOD) def comb(n, r, mod): # https://fushime2.hatenablog.com/entry/2016/11/12/155543 return (math.factorial(n) * inv(math.factorial(n - r)) * inv(math.factorial(r))) % mod N, M, K ...
p03039
mod = 10**9 + 7 def comb(n, k): x, y = 1, 1 k = min(k, n-k) for i in range(k): x *= n - i y *= i + 1 return x*pow(y, mod-2, mod) % mod N, M, K = list(map(int, input().split())) print(((sum(i*(N-i)*M**2 for i in range(N))+sum(i*(M-i)*N**2 for i in range(M)))*comb(N*M-2, K-2) ...
mod = 10**9 + 7 def comb(n, k): x, y = 1, 1 k = min(k, n-k) for i in range(k): x *= n - i x %= mod y *= i + 1 y %= mod return x*pow(y, mod-2, mod) % mod N, M, K = list(map(int, input().split())) print(((sum(i*(N-i)*M**2 for i in range(N))+sum(i*(M-i)*N**2 f...
p03039
mod = 10**9 + 7 def comb(n, k): x, y = 1, 1 k = min(k, n-k) for i in range(k): x *= n - i x %= mod y *= i + 1 y %= mod return x*pow(y, mod-2, mod) % mod N, M, K = list(map(int, input().split())) print(((sum(i*(N-i)*M**2 for i in range(N))+sum(i*(M-i)*N**2 f...
mod = 10**9 + 7 def comb(n, k): x, y = 1, 1 k = min(k, n-k) for i in range(k): x *= n - i x %= mod y *= i + 1 y %= mod return x*pow(y, mod-2, mod) % mod N, M, K = list(map(int, input().split())) print(((M*M%mod*((N**3-N)//6%mod)%mod+N*N%mod*((M**3-M)//6%mod...
p03039
def combination(n, r): r = min(n - r, r) result = 1 for i in range(n, n - r, -1): result *= i for i in range(1, r + 1): result //= i return result N, M, K = list(map(int, input().split())) mod = 10 ** 9 + 7 NM = N * M fa = [1] * (NM + 1) for i in range(1, NM + 1):...
class FactMod: def __init__(self, n, mod): self.mod = mod self.f = [1] * (n + 1) for i in range(1, n + 1): self.f[i] = self.f[i - 1] * i % mod self.inv = [pow(self.f[-1], mod - 2, mod)] for i in reversed(list(range(1, n + 1))): self.inv.app...
p03039
class FactMod: def __init__(self, n, mod): self.mod = mod self.f = [1] * (n + 1) for i in range(1, n + 1): self.f[i] = self.f[i - 1] * i % mod self.inv = [pow(self.f[-1], mod - 2, mod)] for i in reversed(list(range(1, n + 1))): self.inv.app...
class FactMod: def __init__(self, n, mod): self.mod = mod self.f = [1] * (n + 1) for i in range(1, n + 1): self.f[i] = self.f[i - 1] * i % mod self.inv = [pow(self.f[-1], mod - 2, mod)] for i in reversed(list(range(1, n + 1))): self.inv.app...
p03039
import sys sys.setrecursionlimit(2147483647) INF=float("inf") MOD=10**9+7 input=lambda:sys.stdin.readline().rstrip() class modfact(object): def __init__(self,n): fact=[1]*(n+1); invfact=[1]*(n+1) for i in range(1,n+1): fact[i]=i*fact[i-1]%MOD invfact[n]=pow(fact[n],MOD-2,MOD) ...
import sys sys.setrecursionlimit(2147483647) INF = 1 << 60 MOD = 10**9 + 7 # 998244353 input = lambda:sys.stdin.readline().rstrip() class modfact(object): def __init__(self, n): fact, invfact = [1] * (n + 1), [1] * (n + 1) for i in range(1, n + 1): fact[i] = i * fact[i - 1] % MOD ...
p03039
from math import factorial N, M, K = list(map(int, input().split())) mod = 10 ** 9 + 7 def Comb(N, K): a = factorial(N) % mod b = factorial(K) % mod c = factorial(N-K) % mod return (a * pow(b, mod-2, mod) * pow(c, mod-2, mod)) % mod c = Comb(N*M-2, K-2) ans = 0 for d in range(M): ...
from math import factorial N, M, K = list(map(int, input().split())) mod = 10 ** 9 + 7 def f(N): a = 1 for i in range(1, N+1): a *= i a %= mod return a % mod def Comb(N, K): a = f(N) b = f(K) c = f(N-K) return (a * pow(b, mod-2, mod) * pow(c, mod-2, mod)) %...
p03039
N,M,K=list(map(int,input().split())) P=1000000007 import math ans=M**2*(N-1)*N*(N+1)//6 ans+=N**2*(M-1)*M*(M+1)//6 print((ans*math.factorial(N*M-2)*pow(math.factorial(K-2),P-2,P)*pow(math.factorial(N*M-K),P-2,P)%P))
N,M,K=list(map(int,input().split())) P=1000000007 import math print((M*N*(M+N)*(M*N-1)//6*math.factorial(N*M-2)*pow(math.factorial(K-2),P-2,P)*pow(math.factorial(N*M-K),P-2,P)%P))
p03039
import sys input = sys.stdin.readline def I(): return int(eval(input())) def MI(): return list(map(int, input().split())) def LI(): return list(map(int, input().split())) def main(): mod=10**9+7 N,M,K=MI() #2この組み合わせを全部足して,平均ぽく考える def sum2(x): return ((x*(x+1))//2)%mod ...
import sys input = sys.stdin.readline def I(): return int(eval(input())) def MI(): return list(map(int, input().split())) def LI(): return list(map(int, input().split())) def main(): mod=10**9+7 """ まず,xとyを分離する=>xだけを考えるので1行とみなす. いっぺんにいくつも考えられないので,コマを2つだけ置いた時を考える. 2この組み合わせで距離が1=>M-1通り,2...
p03039
N,M,K = list(map(int, input().split())) mod = 10**9+7 a = 1 b = 1 for i in range(min(K-2, N*M-K)): a *= (N*M-2-i) b *= i+1 comb = a//b ans = ((N*N*(N+1)//2-N*(N+1)*(2*N+1)//6)*M**2 + (M*M*(M+1)//2-M*(M+1)*(2*M+1)//6)*N**2)%mod ans *= comb print((ans%mod))
N,M,K = list(map(int, input().split())) mod = 10**9+7 a = 1 b = 1 for i in range(min(K-2, N*M-K)): a *= (N*M-2-i) a %= mod b *= i+1 b %= mod comb = a * pow(b, mod - 2, mod) % mod ans = (((N*N*(N+1)//2-N*(N+1)*(2*N+1)//6)*M**2 + (M*M*(M+1)//2-M*(M+1)*(2*M+1)//6)*N**2)*comb)%mod print(ans)
p03039
N, M, K = list(map(int, input().split())) MOD = 10 ** 9 + 7 def comb(n, r) : if n - r < 0 or r < 0 : return 0 r = min(n-r, r) a, b = 1, 1 for i in range(r) : a *= n - i b *= i + 1 return a // b res = 0 for i in range(1, N + 1) : for j in range...
N, M, K = list(map(int, input().split())) MOD = 10 ** 9 + 7 def pow(x, n) : y = 1 while n > 0 : if n & 1 : y = (y * x) % MOD x = (x * x) % MOD n >>= 1 return y def comb(n, r) : if n < r or n < 0 : return 0 factorial = [0] * (n + 1) ...
p03039
n, m, k = list(map(int, input().split( ))) mod = 10**9 + 7 def chs(a,b, md): res = 1 for i in range(a-b+1,a+1): res *= i res %= md rev = 1 for i in range(1,b+1): rev *= i rev %= md rev2 = pow(rev,md-2,md) res *= rev2 res %= md ...
n, m, k = list(map(int, input().split( ))) mod = 10**9 + 7 def chs(a,b, md): res = 1 for i in range(a-b+1,a+1): res *= i res %= md rev = 1 for i in range(1,b+1): rev *= i rev %= md rev2 = pow(rev,md-2,md) res *= rev2 res %= md ...
p03039
def cmb(n, r, mod): if ( r<0 or r>n ): return 0 r = min(r, n-r) return g1[n] * g2[r] * g2[n-r] % mod A=2*10**5 mod = 10**9+7 g1 = [1, 1] g2 = [1, 1] inverse = [0, 1] for i in range( 2, A + 1 ): g1.append( ( g1[-1] * i ) % mod ) inverse.append( ( -inverse[mod % i] * (mod//i) )...
def power_mod(a,b,mod=10**9+7): i,temp,box=0,b,[] while(2**i<=b): i+=1 for j in range(i-1,-1,-1): box=[[j,temp//2**j]]+box temp-=2**j*(temp//2**j) box[0].append(a) ans=box[0][1]*a%mod for j in range(1,i): box[j].append(box[j-1][2]**2%mod) if box...
p03039
#E問題 N,M,K = list(map(int,input().split())) mod = 1000000007 #factorial(階乗) def factorial(n): factorial_list=[] for i in range(n+1): if i == 0: factorial_list.append(1) elif i == 1: factorial_list.append(1) else: factorial_list.append(fac...
#E問題 N,M,K = list(map(int,input().split())) mod = 1000000007 zen = 1 for i in range(N*M-2): zen*=(i+1) kk = 1 for i in range(K-2): kk*=(i+1) zk = 1 for i in range(N*M-K): zk*=(i+1) C = zen//(kk*zk) X = 0 for i in range(N-1): d = i+1 X+=(N-d)*M*M*d X%=mod Y = 0 for ...
p03039
mod = 1000000007 import sys input = sys.stdin.readline N, M, K = list(map(int, input().split())) N2 = N**2 M2 = M**2 Xpattern = [(x * (N-x)) %mod for x in range(N)] Ypattern = [(y * (M-y)) %mod for y in range(M)] coef = 1 num = min(K-2, N*M-K) for i in range(N*M-2, N*M-2-num, -1): coef *= i for j in r...
mod = 1000000007 import sys input = sys.stdin.readline N, M, K = list(map(int, input().split())) def cmb(n, r): if n<0 or r<0 or r>n: return None r = min(r, n-r) if r == 0: return 1 if r == 1: return n numerator = [0]*r denominator = [0]*r for k in r...
p03039
""" xi,xjのペアにおいて、このペアは何通り出てくるか sum(全通り)sum(i)sum(j){|xi-xj|+|yi-yj|} 和なので、どんな順序でもいい sum(i)sum(j)sum(全通り){|xi-xj|} sum(i)sum(j)sum(全通り){|yi-yj|} あるi,jで固定して、sum(全通り){|xi-xj|}を求めるヤツ 固定したi,jが現れる回数は、 pat = NM-2_C_K-2 こいつはどこでも一緒 pat*sum(i)sum(j){|xi-xj|}を計算する すべてのi,j(i>j)ペアにおいて、xi,xjの和は sum(i=1,N){i*(N-i...
""" xi,xjのペアにおいて、このペアは何通り出てくるか sum(全通り)sum(i)sum(j){|xi-xj|+|yi-yj|} 和なので、どんな順序でもいい sum(i)sum(j)sum(全通り){|xi-xj|} sum(i)sum(j)sum(全通り){|yi-yj|} あるi,jで固定して、sum(全通り){|xi-xj|}を求めるヤツ 固定したi,jが現れる回数は、 pat = NM-2_C_K-2 こいつはどこでも一緒 pat*sum(i)sum(j){|xi-xj|}を計算する すべてのi,j(i>j)ペアにおいて、xi,xjの和は sum(i=1,N){i*(N-i...
p03039
""" 組み合わせ(nCr)計算 https://qiita.com/derodero24/items/91b6468e66923a87f39f#%E7%95%AA%E5%A4%96%E7%B7%A8 逆元の求め方 http://drken1215.hatenablog.com/entry/2018/06/08/210000 解法@公式放送 https://www.youtube.com/watch?v=SS6kW-d-rJ0&feature=youtu.be&t=7376 """ def cmb(n, r): return (fact[n] * finv_t[r] * finv_t[n - r])...
""" https://atcoder.jp/contests/abc127/submissions/5606400 """ def inv(x): return pow(x, MOD - 2, MOD) def cmb(n, r): r = min(r, n - r) if r == 0: return 1 if r == 1: return n f = 1 for k in range(n, n - r, -1): f = (f * k) % MOD # n!/(n-r)...
p03039
# https://atcoder.jp/contests/abc127/submissions/5606400 from functools import reduce def mod_mul(a, b): return (a * b) % MOD def mod_add(a, b): return (a + b) % MOD def cmb(n, r): r = min(r, n - r) if r == 0: return 1 if r == 1: return n f = reduce(mo...
# https://atcoder.jp/contests/abc127/submissions/5606400 from functools import reduce from operator import add def mod_mul(a, b): return (a * b) % MOD def cmb(n, r): r = min(r, n - r) if r == 0: return 1 if r == 1: return n f = reduce(mod_mul, list(range(n - r + ...
p03039
from collections import defaultdict mod = 10 ** 9 + 7 memo = defaultdict(int) def cmb(n, r): if (n, r) in memo: return memo[(n, r)] if n < r or r < 0: return 0 if r > n - r: return cmb(n, n - r) res = f[n] * pow(f[n - r], mod - 2, mod) * pow(f[r], mod - 2,...
def solve(): mod = 10 ** 9 + 7 def cmb(n, r): def build(): fs = [1] t = 1 for x in range(1, h * w): t = (t * x) % mod fs.append(t) invs = [1] * (h * w) t = pow(t, mod - 2, mod) invs[-1]...
p03039
def solve(): mod = 10 ** 9 + 7 def cmb(n, r): def build(): fs = [1] t = 1 for x in range(1, h * w): t = (t * x) % mod fs.append(t) invs = [1] * (h * w) t = pow(t, mod - 2, mod) invs[-1]...
class Calc: def __init__(self, max_value, mod): """combination(max_value, all)""" fact = [-1] * (max_value + 1) fact[0] = 1 fact[1] = 1 for x in range(2, max_value + 1): fact[x] = x * fact[x - 1] % mod invs = [1] * (max_value + 1) invs[m...
p03039
import math mod = 10**9+7 N,M,K = list(map(int, input().split())) MAX = min(N*M,mod) facts = [1 for i in range(MAX)] invs = [1 for i in range(MAX)] def inv(x): return pow(x,mod-2,mod) for i in range(1,MAX): facts[i] = (facts[i-1] * i)% mod invs[i] = inv(facts[i]) def nCr(n,r): return fac...
import math mod = 10**9+7 N,M,K = list(map(int, input().split())) MAX = min(N*M,mod) facts = [1 for i in range(MAX)] invs = [1 for i in range(MAX)] def inv(x): return pow(x,mod-2,mod) for i in range(1,MAX): facts[i] = (facts[i-1] * i)% mod invs[i] = inv(facts[i]) def nCr(n,r): return fac...
p03039
N, M, K = list(map(int, input().split())) MOD = 10 ** 9 + 7 NM = N * M fact = [1 for _ in range(NM+1)] for i in range(1, NM+1): fact[i] = fact[i-1] * i def combination(n, m): return fact[n] // fact[n-m] //fact[m] pattern = combination(NM-2, K-2) % MOD def diff_x_pattern(val): # for d i...
N, M, K = list(map(int, input().split())) MOD = 10 ** 9 + 7 def combination(n, m): m = min(m, n-m) c = 1 for i in range(m): c *= n - i for i in range(2, m+1): c //= i return c % MOD pattern = combination(N*M-2, K-2) % MOD def diff_x_pattern(val): # for d in ra...
p03039
N, M, K = list(map(int, input().split())) MOD = 10 ** 9 + 7 fact = [1 for _ in range(N*M+1)] for i in range(1, N*M+1): fact[i] = fact[i-1] * i def inv(val): return pow(val, MOD-2, MOD) def combination(n, m): return fact[n] * inv(fact[n-m]*fact[m]) % MOD pattern = combination(N*M-2, K-2) ...
N, M, K = list(map(int, input().split())) MOD = 10 ** 9 + 7 def combination(n, m): c = 1 m = min(n-m, m) for i in range(m): c *= (n-i) * pow(m-i, MOD-2, MOD) % MOD return c pattern = combination(N*M-2, K-2) def diff_x_pattern(val): ret = 0 for d in range(1, val): ...
p03039
N, M, K = list(map(int, input().split())) MOD = 10 ** 9 + 7 def combination(n, m): c = 1 m = min(n-m, m) for i in range(m): c *= (n-i) * pow(m-i, MOD-2, MOD) % MOD return c pattern = combination(N*M-2, K-2) def diff_x_pattern(val): ret = 0 for d in range(1, val): ...
N, M, K = list(map(int, input().split())) MOD = 10 ** 9 + 7 def combination(n, m): c = 1 m = min(n-m, m) for i in range(m): c = c * (n-i) * pow(m-i, MOD-2, MOD) % MOD return c pattern = combination(N*M-2, K-2) def diff_x_pattern(val): ret = 0 for d in range(1, val): ...
p03039
import sys from itertools import combinations def comb_mod(n, r, MOD=10**9+7): if n < 0 or r < 0 or n < r: return 0 factrial = [1] * (n+1) for k in range(1, n+1): factrial[k] = (factrial[k-1] * k) % MOD fact_inv = [1] * (n+1) fact_inv[n] = pow(factrial[n], MOD - 2, MOD...
import sys from itertools import combinations def comb_mod(n, r, MOD=10**9+7): if n < 0 or r < 0 or n < r: return 0 factrial = [1] * (n+1) for k in range(1, n+1): factrial[k] = (factrial[k-1] * k) % MOD fact_inv = [1] * (n+1) fact_inv[n] = pow(factrial[n], MOD - 2, MOD...
p03039
p,q,r=list(map(int,input().split())) def comb_mod(N,K,modp): K_fact=1 NK_fact=1 N_fact=1 for i in range(1,K+1): K_fact*=i for i in range(1,N-K+1): NK_fact*=i for i in range(1,N+1): N_fact*=i K_inv=pow(K_fact, -1, modp) NK_inv=pow(NK_fact,...
p,q,r=list(map(int,input().split())) def comb_mod(N,K,modp): K_fact=1 NK_fact=1 N_fact=1 for i in range(1,K+1): K_fact*=i K_fact=K_fact%modp for i in range(1,N-K+1): NK_fact*=i NK_fact=NK_fact%modp for i in range(1,N+1): N_fact*=i ...
p03039
from operator import mul from functools import reduce def cmb(n,r): r = min(n-r,r) if r == 0: return 1 over = reduce(mul, list(range(n, n - r, -1))) under = reduce(mul, list(range(1,r + 1))) return over // under N, M, K = list(map(int, input().split())) c = cmb(N*M-2,K-2) ans = c *...
mod = 10**9 + 7 def comb(n, k): x, y = 1, 1 k = min(k, n - k) for i in range(k): x *= n - i x %= mod y *= i + 1 y %= mod return x * pow(y, mod - 2, mod) % mod N, M, K = list(map(int, input().split())) c = comb(N*M-2,K-2) ans = c * (M**2 * (N**2 * (...
p03039
N, M, K = list(map(int, input().split())) ppp = 10**9 + 7 def expo_div_p(a: int,n: int,p: int): if n == 1: d = a elif n % 2 == 0: d = expo_div_p(a, n//2, p)**2 % p else: d = a * expo_div_p(a, n//2, p)**2 % p return d def combi(x, y, p): c = 1 for i in rang...
N, M, K = list(map(int, input().split())) ppp = 10**9 + 7 #def expo_div_p(a: int,n: int,p: int): # if n == 1: # d = a # elif n % 2 == 0: # d = expo_div_p(a, n//2, p)**2 % p # else: # d = a * expo_div_p(a, n//2, p)**2 % p # return d # def combi(x, y, p): c = 1 for ...
p03039
from operator import mul from functools import reduce def comb(n,r): r = min(n - r, r) if r == 0: return 1 over = reduce(mul, list(range(n, n - r, -1))) under = reduce(mul, list(range(1, r + 1))) return over // under N,M,K = list(map(int,input().split())) C = comb(N*M-2, K-2) #print(...
def comb(n, r): if n - r < r: r = n - r if r == 0: return 1 if r == 1: return n numerator = [n - r + k + 1 for k in range(r)] denominator = [k + 1 for k in range(r)] for p in range(2,r+1): pivot = denominator[p - 1] if pivot > 1: offset = (n - r) % p ...
p03039
from operator import mul from functools import reduce def comb2(n,r): r = min(n - r, r) if r == 0: return 1 over = reduce(mul, list(range(n, n - r, -1))) under = reduce(mul, list(range(1, r + 1))) return over // under import sys def I(): return int(sys.stdin.readline()) def LI(): return ...
from operator import mul from functools import reduce def comb2(n,r): r = min(n - r, r) if r == 0: return 1 over = reduce(mul, list(range(n, n - r, -1))) under = reduce(mul, list(range(1, r + 1))) return over // under def comb3(n, r): if n - r < r: r = n - r if r == 0: return 1 ...
p03039
from operator import mul from functools import reduce def comb2(n,r): r = min(n - r, r) if r == 0: return 1 over = reduce(mul, list(range(n, n - r, -1))) under = reduce(mul, list(range(1, r + 1))) return over // under def comb3(n, r): if n - r < r: r = n - r if r == 0: return 1 ...
class combination(): #素数のmod取るときのみ 速い def __init__(self, n, mod): self.n = n self.fac = [1] * (n + 1) self.inv = [1] * (n + 1) for j in range(1, n + 1): self.fac[j] = self.fac[j - 1] * j % mod self.inv[n] = pow(self.fac[n], mod - 2, mod) for...
p03039
N,M,K=list(map(int,input().split())) O,S,T=10**9+7,N+M,6 for i in range(K):S=S*(N*M-i)%O;T*=i+1 print((S*K*~-K*pow(T,O-2,O)%O))
N,M,K=list(map(int,input().split())) O,S,T=10**9+7,N+M,6 for i in range(K):S=S*(N*M-i)%O;T=T*-~i%O print((S*K*~-K*pow(T,O-2,O)%O))
p03039
import math n,m,k = list(map(int,input().split())) ss = (math.factorial(m*n)//math.factorial(k))//math.factorial(m*n-k) s = (ss*k*(k-1))//2 r = 10**9 +7 xav = ((m**3-m) *n**2)//6 yav = ((n**3-n)*m**2)//6 av = xav + yav d = (m*n*(m*n-1))//2 print((int(((av*s)//d)%r)))
n,m,k = list(map(int,input().split())) x = m*n def cmb(n, r): if n - r < r: r = n - r if r == 0: return 1 if r == 1: return n numerator = [n - r + k + 1 for k in range(r)] denominator = [k + 1 for k in range(r)] for p in range(2,r+1): pivot = denominator[p - 1] if p...
p03039
# -*- coding: utf-8 -*- mod = 10 ** 9 + 7 n, m, k = list(map(int, input().split())) nm = n * m fact = [1] * (nm + 1) for i in range(1, nm + 1): fact[i] = fact[i - 1] * i def C(n, k): x = fact[n] x *= pow(fact[n-k], mod - 2, mod) x %= mod x *= pow(fact[k], mod - 2, mod) x %= mod...
# -*- coding: utf-8 -*- mod = 10 ** 9 + 7 n, m, k = list(map(int, input().split())) nm = n * m fact = [1] * (nm + 1) for i in range(1, nm + 1): fact[i] = fact[i - 1] * i % mod def C(n, k): x = fact[n] x *= pow(fact[n-k], mod - 2, mod) x %= mod x *= pow(fact[k], mod - 2, mod) x ...
p03039
mod = 10**9 + 7 n, m, k = list(map(int, input().split())) nm = n * m fact = [1] * (nm-1) inv = [1] * (nm-1) inv_fact = [1] * (nm-1) for i in range(2, nm-1): fact[i] = fact[i-1] * i % mod inv[i] = -(mod // i) * inv[mod % i] % mod inv_fact[i] = inv_fact[i-1] * inv[i] comb = fact[nm-2] * inv_fact[k-2] * in...
mod = 10**9 + 7 n, m, k = list(map(int, input().split())) nm = n * m fact = [1] * (nm-1) inv = [1] * (nm-1) inv_fact = [1] * (nm-1) for i in range(2, nm-1): fact[i] = fact[i-1] * i % mod inv[i] = -(mod // i) * inv[mod % i] % mod inv_fact[i] = inv_fact[i-1] * inv[i] % mod comb = fact[nm-2] * inv_fact[k-2...
p03039
import sys input = sys.stdin.readline N,M,K=list(map(int,input().split())) mod=10**9+7 def Combi2(a,b):#aは大きいが、bは小さいとき if b>a: return 0 ANS=1 for i in range(min(b,a-b)): ANS=ANS*(a-i)*pow(min(b,a-b)-i,mod-2,mod) return ANS%mod SUM_N=SUM_M=0 for i in range(N): SUM...
import sys input = sys.stdin.readline N,M,K=list(map(int,input().split())) mod=10**9+7 def Combi2(a,b):#aは大きいが、bは小さいとき if b>a: return 0 ANS=1 for i in range(min(b,a-b)): ANS=ANS*(a-i)*pow(min(b,a-b)-i,mod-2,mod)%mod return ANS%mod SUM_N=SUM_M=0 for i in range(N): ...
p03039
N,M,K = list(map(int,input().split())) mod = 10 ** 9 + 7 MAX = N*M fac = [0] * MAX finv = [0] * MAX inv = [0] * MAX def cominit(): fac[0] = 1 fac[1] = 1 finv[0] = 1 finv[1] = 1 inv[1] = 1 for i in range(2,MAX): fac[i] = fac[i-1] * i % mod inv[i] = mo...
N,M,K = list(map(int,input().split())) mod = 10 ** 9 + 7 MAX = N*M fac = [0] * MAX finv = [0] * MAX inv = [0] * MAX def cominit(): fac[0] = 1 fac[1] = 1 finv[0] = 1 finv[1] = 1 inv[1] = 1 for i in range(2,MAX): fac[i] = fac[i-1] * i % mod inv[i] = mo...
p03039
#!/usr/bin/python3 # -*- coding: utf-8 -*- MOD = 10**9+7 Facts = [1]*(2*10**5+1) for i in range(2,2*10**5+1): Facts[i] = (Facts[i-1]*i) % MOD def mul(a,b): return (a*b) % MOD def power(a,b): if b==0 : return 1 elif b==1 : return a % MOD elif b%2==0 : return power(a,b//2)**2 % MOD e...
#!/usr/bin/python3 # -*- coding: utf-8 -*- MOD = 10**9+7 Facts = [1]*(2*10**5+1) for i in range(2,2*10**5+1): Facts[i] = (Facts[i-1]*i) % MOD def mul(a,b): return (a*b) % MOD def power(a,b): if b==0 : return 1 elif b==1 : return a % MOD elif b%2==0 : return power(a,b//2)**2 % MOD e...
p03039
import sys readline = sys.stdin.readline sys.setrecursionlimit(10**8) mod = 10**9+7 #mod = 998244353 INF = 10**18 eps = 10**-7 m,n,k = list(map(int,readline().split())) def comb(n, r, mod): r = min(r, n-r) mol = 1 deno = 1 for i in range(1, r+1): mol = mol * (n-r+i) % mod ...
import sys readline = sys.stdin.readline sys.setrecursionlimit(10**8) mod = 10**9+7 #mod = 998244353 INF = 10**18 eps = 10**-7 m,n,k = list(map(int,readline().split())) def comb(n, r, mod): r = min(r, n-r) mol = 1 deno = 1 for i in range(1, r+1): mol = mol * (n-r+i) % mod ...
p03039
import sys readline = sys.stdin.readline sys.setrecursionlimit(10**8) mod = 10**9+7 #mod = 998244353 INF = 10**18 eps = 10**-7 m,n,k = list(map(int,readline().split())) def comb(n, r, mod): r = min(r, n-r) mol = 1 deno = 1 for i in range(1, r+1): mol = mol * (n-r+i) % mod ...
import sys readline = sys.stdin.readline sys.setrecursionlimit(10**8) mod = 10**9+7 #mod = 998244353 INF = 10**18 eps = 10**-7 m,n,k = list(map(int,readline().split())) def comb(n, r, mod): r = min(r, n-r) mol = 1 deno = 1 for i in range(1, r+1): mol = mol * (n-r+i) % mod ...
p03039
def cmb(n, r, mod): if ( r<0 or r>n ): return 0 r = min(r, n-r) return g1[n] * g2[r] * g2[n-r] % mod mod = 10**9+7 #出力の制限 N = 10**6 g1 = [1, 1] # 元テーブル g2 = [1, 1] #逆元テーブル inverse = [0, 1] #逆元テーブル計算用テーブル for i in range( 2, N + 1 ): g1.append( ( g1[-1] * i ) % mod ) inverse.ap...
class Combination: """ O(n)の前計算を1回行うことで,O(1)でnCr mod mを求められる n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms) 使用例: comb = Combination(1000000) print(comb(5, 3)) # 10 """ def __init__(self, n_max, mod=10**9+7): self.mod = mod self.modinv = self.make_modi...
p03039
class Combination: def __init__(self, n, MOD): self.fact = [1] for i in range(1, n + 1): self.fact.append(self.fact[-1] * i % MOD) self.inv_fact = [pow(self.fact[i] ,MOD - 2 ,MOD) for i in range(n + 1)] self.MOD = MOD def factorial(self, k): '''k!を...
class Combination: def __init__(self, n, MOD): self.fact = [1] for i in range(1, n + 1): self.fact.append(self.fact[-1] * i % MOD) self.inv_fact = [pow(self.fact[i] ,MOD - 2 ,MOD) for i in range(n + 1)] self.MOD = MOD def factorial(self, k): '''k!を...
p03039
n, m, k = list(map(int, input().split())) mod = 1000000007 def pow(x, n): ret = 1 while n > 0: if (n & 1) == 1: ret = (ret * x) % mod x = (x * x) % mod n >>= 1 return ret fac = [1] inv = [1] for i in range(1, n * m + 1): fac.append((fac[-1] * i) % mod...
n, m, k = list(map(int, input().split())) mod = 1000000007 fac = [1] for i in range(1, n * m + 1): fac.append((fac[-1] * i) % mod) def pow(x, n): ret = 1 while n > 0: if (n & 1) == 1: ret = (ret * x) % mod x = (x * x) % mod n >>= 1 return ret def in...
p03039
N,M,K=list(map(int,input().split())) MOD=10**9+7 from fractions import Fraction # 組合せの総数 def comb(n, k): if n < 0 or k < 0: pdt = 0 else: pdt = 1 for s in range(1, k + 1): pdt *= Fraction(n - s + 1, s) # 戻り値をint型にするために分子を取り出す return p...
N,M,K=list(map(int,input().split())) MOD=10**9+7 # 組合せの総数 def comb(n, r): if n - r < r: r = n - r if r == 0: return 1 if r == 1: return n numerator = [n - r + k + 1 for k in range(r)] denominator = [k + 1 for k in range(r)] for p in range(2,r+1): pivot = denominator[p - 1...
p03039
def factorial_mod(n, mod): a = 1 for i in range(1, n + 1): a *= i a %= mod return a def comb_mod(n, k, mod): fact_n = factorial_mod(n, mod) fact_k = factorial_mod(k, mod) fact_n_k = factorial_mod(n - k, mod) return (fact_n * pow(fact_k, mod - 2, mod) * pow(fact_...
def factorial_mod(n, mod): a = 1 for i in range(1, n + 1): a *= i a %= mod return a def comb_mod(n, k, mod): fact_n = factorial_mod(n, mod) fact_k = factorial_mod(k, mod) fact_n_k = factorial_mod(n - k, mod) return (fact_n * pow(fact_k, mod - 2, mod) * pow(fact_...
p03039
N, M, K = list(map(int, input().split())) P = 10**9+7 fact = [1] for i in range(N*M): fact.append(fact[-1]*(i+1)) def inv(n): return pow(n, P-2, P) def C(a, b): return fact[a]*inv(fact[a-b]*fact[b])%P print(((M**2*(N**3-N)+N**2*(M**3-M))//6*C(M*N-2, K-2)%P))
N, M, K = list(map(int, input().split())) P = 10**9+7 fact = [1] for i in range(N*M): fact.append(fact[-1]*(i+1)%P) def inv(n): return pow(n, P-2, P) def C(a, b): return fact[a]*inv(fact[a-b]*fact[b])%P print(((M**2*(N**3-N)+N**2*(M**3-M))//6*C(M*N-2, K-2)%P))
p03039
import math n,m,k = list(map(int,input().split())) mod = 10**9+7 memo = {} def factorial(num): if num == 0: return 1 if not num in memo: memo[num] = num*factorial(num-1) return memo[num] temp = math.factorial(n*m-2)//(math.factorial(k-2)*math.factorial(n*m-k)) ans = 0 for d in ...
n,m,k = list(map(int,input().split())) mod = 10**9+7 def combination(n,r,p): if n < r or r < 0: return 0 r = min(n-r,r) fact = [1,1] factinv = [1,1] inv = [0,1] for i in range(2,n+1): fact.append((fact[-1]*i)%p) inv.append((-inv[p%i]*(p//i))%p) f...
p03039
n,m,k=list(map(int,input().split())) ans=0 INF=10**9+7 if n<=m: M=(m-1)*m*(2*m-1)//3 for i in range(1,n+1): for j in range(i,n+1): if i==j: ans=ans+m*m*(m-1)//2-(m-1)*m*(2*m-1)//6 else: d=j-i ans=ans+d*m+2*d*m*(m-1)+(m-d)...
n,m,k=list(map(int,input().split())) ans=0 INF=10**9+7 if n<=m: M=(m-1)*m*(2*m-1)//3 for i in range(1,n+1): for j in range(i,n+1): if i==j: ans=ans+m*m*(m-1)//2-(m-1)*m*(2*m-1)//6 else: d=j-i ans=ans+d*m+(m+d)*m*(m-1)-M ...
p03039
n,m,k=list(map(int,input().split())) ans=0 INF=10**9+7 if n<=m: M=-(m-1)*m*(2*m-1)//3+m*m*(m-1) Ms=m*m*(m-1)//2-(m-1)*m*(2*m-1)//6 M=M%INF Ms=Ms%INF for i in range(1,n+1): for j in range(i,n+1): if i==j: ans=ans+Ms else: d=...
n,m,k=list(map(int,input().split())) ans=0 INF=10**9+7 if n<=m: M=-(m-1)*m*(2*m-1)//3+m*m*(m-1) Ms=m*m*(m-1)//2-(m-1)*m*(2*m-1)//6 M=M%INF Ms=Ms%INF for i in range(1,n+1): for j in range(i,n+1): if i==j: ans=ans+Ms else: d=...
p03039
n,m,k=list(map(int,input().split())) ans=0 INF=10**9+7 if n<=m: M=-(m-1)*m*(2*m-1)//3+m*m*(m-1) Ms=m*m*(m-1)//2-(m-1)*m*(2*m-1)//6 M=M%INF Ms=Ms%INF for i in range(1,n+1): for j in range(i,n+1): if i==j: ans=ans+Ms else: d=...
n,m,k=list(map(int,input().split())) ans=0 INF=10**9+7 if n<=m: M=-(m-1)*m*(2*m-1)//3+m*m*(m-1) Ms=m*m*(m-1)//2-(m-1)*m*(2*m-1)//6 M=M%INF Ms=Ms%INF for i in range(1,n+1): for j in range(i,n+1): if i==j: ans=ans+Ms else: d=...
p03039
n, m, k = list(map(int, input().split())) mod = 10 ** 9 + 7 MAX = n * m class ModInt: def __init__(self, num): self.num = num def __str__(self): return str(self.num) def __repr__(self): return "ModInt(num: {}, mod: {}".format(self.num, mod) def __add__(self, o...
n, m, k = list(map(int, input().split())) mod = 10 ** 9 + 7 MAX = n * m fact = [1] * (MAX + 1) for i in range(1, MAX + 1): fact[i] = (fact[i-1] * i) % mod inv = [1] * (MAX + 1) inv[MAX] = pow(fact[MAX], mod - 2, mod) for i in range(MAX, 0, -1): inv[i-1] = (inv[i] * i) % mod def comb(n, k): ...
p03039
inpl = lambda: list(map(int,input().split())) N, M ,K = inpl() MOD = 10**9+7 factor = 1 # MN-2 C K-2 = MN-2 C MN-K = MN-2 C L L = min(K-2,M*N-K) for i in range(M*N-L-1,M*N-1): factor *= i for i in range(1,L+1): factor //= i factor %= MOD ans = ((M*(N-1)*(N+1) + N*(M-1)*(M+1))*M*N //6 * factor) % MOD ...
inpl = lambda: list(map(int,input().split())) N, M ,K = inpl() MOD = 10**9+7 def mod_inv(a, m=MOD): def mod_inv_sub(a, m): if a == 1: return 1, 0 else: d, r = m//a, m % a x, y = mod_inv_sub(r, a) return y - d*x, x x = mod_inv_sub(a,m...
p03039
# coding: utf-8 import re import math import fractions import random import time #import numpy as np mod=int(10**9+7) inf=int(10**20) fac=[1]*250000 for a in range(2,250000): fac[a]=fac[a-1]*a%mod class union_find(): def __init__(self,n): self.n=n self.P=[a for a in range(N)] ...
# coding: utf-8 import re import math import fractions import random import time #import numpy as np mod=int(10**9+7) inf=int(10**20) fac=[1]*250000 for a in range(2,250000): fac[a]=fac[a-1]*a%mod class union_find(): def __init__(self,n): self.n=n self.P=[a for a in range(N)] ...
p03039
n,m,k=list(map(int,input().split())) mod=10**9+7 from operator import mul from functools import reduce def cmb(n,r): r = min(n-r,r) if r == 0: return 1 over = reduce(mul, list(range(n, n - r, -1))) under = reduce(mul, list(range(1,r + 1))) return over // under%mod A=n*m v=cmb(A-2,k-2) ...
n,m,k=list(map(int,input().split())) mod=10**9+7 A=n*m-2 from math import factorial def Comb(N, K): a = factorial(N) % mod b = factorial(K) % mod c = factorial(N-K) % mod return (a * pow(b, mod-2, mod) * pow(c, mod-2, mod)) % mod v=Comb(A,k-2) t=0 y=0 for i in range(1,n): t+=i*(n-i)*m*m%m...
p03039
from itertools import combinations import math def cmb(n, r, p): if (r < 0) or (n < r): return 0 r = min(r, n - r) return fact[n] * factinv[r] * factinv[n-r] % p p = 10 ** 9 + 7 N = 10 ** 6 # N は必要分だけ用意する fact = [1, 1] # fact[n] = (n! mod p) factinv = [1, 1] # factinv[n] = ((n!)^(-1) ...
""" 基本の方針は「各マンハッタン距離が何回足されるか」という考え方で距離の値を積み上げて行けばよい まず、XとYは独立に考えることにする。 X軸の距離の方から積み上げる。 X1とX2の距離が足される回数は、 A.X1の列とX2の列の座標の組み合わせの数 × B.その組み合わせが含まれるような座標の組み合わせの数 である。 A = 行数**2 B = CMB(N*M-2 , K-2)である 同様の計算をY軸に関しても行えばよい。 """ def cmb(n, r, p): if (r < 0) or (n < r): return 0 r = min(r, n -...
p03039
import sys mod = pow(10, 9) + 7 def C(n, r): if ( r<0 or r>n ): return 0 r = min(r, n-r) return g1[n] * g2[r] * g2[n-r] % mod NNN = (10**6) g1 = [1, 1] g2 = [1, 1] inverse = [0, 1] for i in range(2, NNN+1): g1.append( ( g1[-1] * i ) % mod ) inverse.append( ( -inverse[mod % i] * ...
N, M, K = list(map(int, input().split())) import sys mod = pow(10, 9) + 7 sys.setrecursionlimit(pow(10, 8)) def power(x, y): if y == 0: return 1 elif y == 1 : return x % mod elif y % 2 == 0 : return power(x, y//2)**2 % mod else: return power(x, (y-1)//2)**2 * x % mod def mul(a, b): ...
p03039
#!/usr/bin/env python3 import sys INF = float("inf") MOD = 1000000007 # type: int def cmb(n, r): r = min(r, n-r) if r == 0: return 1 if r == 1: return n numer = [n - r + k + 1 for k in range(r)] denom = [k + 1 for k in range(r)] for p in range(2, r+1): ...
#!/usr/bin/env python3 import sys INF = float("inf") MOD = 1000000007 # type: int def cmb(n, r): r = min(r, n-r) if r == 0: return 1 if r == 1: return n numer = [n - r + k + 1 for k in range(r)] denom = [k + 1 for k in range(r)] for p in range(2, r+1): ...
p03039
MAX = 10**9 + 7 def mod_inv(i, MOD): return pow(i, MOD-2, MOD) def combination(_N, _K): if _K > (_N/2): _K = _N - _K up = 1 low = 1 for i in range (_K): up *= (_N - i) % MAX low *= (i + 1) % MAX ret = up * mod_inv(low, MAX) if ret >= MAX: ret ...
MAX = 10**9 + 7 def mod_inv(i, mod): return pow(i, mod-2, mod) def combination(_N, _K): if _K > (_N/2): _K = _N - _K up = 1 low = 1 for i in range (_K): up = up * (_N - i) % MAX low = low * (i + 1) % MAX ret = up * mod_inv(low, MAX) % MAX return ret ...
p03039
import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 MOD = 1000000007 def main(): N, M, K = list(map(int, readline().split())) COM_MAX = N * M fac, finv, inv = [0] * (COM_MAX + 1), [0] * (COM_MAX + 1),...
import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 MOD = 1000000007 def main(): N, M, K = list(map(int, readline().split())) COM_MAX = N * M fac, finv, inv = [0] * (COM_MAX + 1), [0] * (COM_MAX + 1),...
p03039
n,m,k=list(map(int,input().split())) mod=10**9+7 import math def f(x): return math.factorial(x) def c(x,y): return f(x)//(f(x-y)*f(y)) ans=(n**2*(m-1)*m*(m+1)//6)%mod ans=(ans+m**2*(n-1)*n*(n+1)//6)%mod ans=(ans*c(m*n-2,k-2))%mod print(ans)
n,m,k=list(map(int,input().split())) import math def f(x): return math.factorial(x) def c(x,y): return f(x)//(f(x-y)*f(y)) print((((n**2*(m-1)*m*(m+1)//6+m**2*(n-1)*n*(n+1)//6)*c(m*n-2,k-2))%(10**9+7)))
p03039
import sys sys.setrecursionlimit(100000) while True: n,m,h,k = list(map(int,input().split())) if not n: break s_lst = [int(eval(input())) for _ in range(n)] b_lst = [tuple(map(int,input().split())) for _ in range(m)] b_lst = sorted(b_lst,key=lambda x:-x[1]) def amida(b_lst, s_lst, used, k): if ...
while True: n,m,h,k = list(map(int,input().split())) if not n: break s_lst = [int(eval(input())) for _ in range(n)] i_lst = [i for i in range(n)] b_lst = [tuple(map(int,input().split())) for _ in range(m)] b_lst = sorted(b_lst,key=lambda x:x[1]) pare_lst = [] for bar in b_lst: ind = bar[0] ...
p00463
while True: n, m, h, k = list(map(int, input().split())) if not n: break points = [int(eval(input())) for _ in range(n)] bars = [tuple(map(int, input().split())) for _ in range(m)] bars_h = [set() for _ in range(h)] for ba, bh in bars: bars_h[bh].add(ba - 1) swap = [...
while True: n, m, h, k = list(map(int, input().split())) if not n: break points = [int(eval(input())) for _ in range(n)] bars = [tuple(map(int, input().split())) for _ in range(m)] bars_h = [set() for _ in range(h)] for ba, bh in bars: bars_h[bh].add(ba - 1) swap = l...
p00463
import sys input=sys.stdin.readline import copy def knapsack(N,W,weight,value): dp=[[999999999999 for i in range(W+1)] for j in range(N+1)] dp2=[[set() for i in range(W+1)] for j in range(N+1)] for i in range(W+1): dp[0][i]=0 for i in range(N): for w in range(W+1): if weight[i]<=w: ...
import sys input=sys.stdin.readline import copy def knapsack(N,W,weight,value): dp=[[999999999999 for i in range(W+1)] for j in range(N+1)] dp2=[] for i in range(N+1): x=[] for j in range(W+1): x.append([]) dp2.append(x) for i in range(W+1): dp[0][i]=0 for i in range(N): ...
p02863
import sys input=sys.stdin.readline import copy def knapsack(N,W,weight,value): dp=[[999999999999 for i in range(W+1)] for j in range(N+1)] dp2=[] for i in range(N+1): x=[] for j in range(W+1): x.append([]) dp2.append(x) for i in range(W+1): dp[0][i]=0 for i in range(N): ...
import sys input=sys.stdin.readline import copy def knapsack(N,W,weight,value): dp=[[999999999999 for i in range(W+1)] for j in range(N+1)] for i in range(W+1): dp[0][i]=0 for i in range(N): for w in range(W+1): if weight[i]<=w: if dp[i][w-weight[i]]+value[i]>dp[i][w]: dp[...
p02863
import sys input=sys.stdin.readline def knapsack(N,W,weight,value): dp=[[float('inf') for i in range(W+1)] for j in range(N+1)] for i in range(W+1): dp[0][i]=0 for i in range(N): for w in range(W+1): if weight[i]<=w: if dp[i][w-weight[i]]+value[i]>dp[i][w]: dp[i+1][w]=...
import sys input=sys.stdin.readline def knapsack(N,W,weight,value): dp=[[999999999999 for i in range(W+1)] for j in range(N+1)] for i in range(W+1): dp[0][i]=0 for i in range(N): for w in range(W+1): if weight[i]<=w: if dp[i][w-weight[i]]+value[i]>dp[i][w]: dp[i+1][w]=...
p02863
import sys input=sys.stdin.readline import copy def knapsack(N,W,weight,value): dp=[[999999999999 for i in range(W+1)] for j in range(N+1)] dp2=[[0 for i in range(W+1)] for j in range(N+1)] for i in range(W+1): dp[0][i]=0 for i in range(N): for w in range(W+1): if weight[i]<=w: if...
import sys input=sys.stdin.readline def knapsack(N,W,weight,value): dp=[[999999999999 for i in range(W+1)] for j in range(N+1)] for i in range(W+1): dp[0][i]=0 for i in range(N): for w in range(W+1): if weight[i]<=w: if dp[i][w-weight[i]]+value[i]>dp[i][w]: dp[i+1][w]=...
p02863
N,T=list(map(int,input().split())) x=[None] # x[0] for i in range(1,N+1): # x[i]のiに対応させる x.append(tuple(map(int,input().split()))) # x[1]~x[N] # print(x) #DB★ dp1=[[0 for j in range(T)] for i in range(N+2)] # 0~N+1 dp1[i]はx[1]からx[i]まで使用(dp1[0]は使用するx[i]なしの初期値,dp1[N+1]は余り→0で初期化していることが後で役に立つ) for i in range(1,...
N,T=list(map(int,input().split())) x=[(0,0)] # x[0] for i in range(1,N+1): # x[i]のiに対応させる x.append(tuple(map(int,input().split()))) # x[1]~x[N] x.sort() # print(x) #DB★ dp1=[[0 for j in range(T)] for i in range(N+2)] # 0~N+1 dp1[i]はx[1]からx[i]まで使用(dp1[0]は使用するx[i]なしの初期値,dp1[N+1]は余り→0で初期化していることが後で役に立つ) for ...
p02863
n, t = list(map(int, input().split())) a, b, ab = [], [], [] for _ in range(n): ab.append(tuple(map(int, input().split()))) ab.sort(key=lambda x:x[0]) for i in ab: a.append(i[0]) b.append(i[1]) # dp[i][j] = 0~i番目の料理でj分以内に完食できる美味しさの合計の最大値 # 0 <= i <= n-1, 0 <= j <= t-1 dp = [[0 for _ in range(a[0...
n, t = list(map(int, input().split())) a, b, ab = [], [], [] for _ in range(n): ab.append(tuple(map(int, input().split()))) ab.sort(key=lambda x:x[0]) for i in ab: a.append(i[0]) b.append(i[1]) # dp[i][j] = 0~i番目の料理でj分以内に完食できる美味しさの合計の最大値 # 0 <= i <= n-1, 0 <= j <= t-1 dp = [[0 for _ in range(min...
p02863
N, W = list(map(int, input().split())) items = [list(map(int, input().split())) for i in range(N)] # dp1[i][j] := 商品0 ~ i が対象 # dp2[i][j] := 商品i ~ N が対象(順番はそのまま) # out-of-index 対策に余分に取っておく dp1 = [[0] * (W + 1) for i in range(N + 2)] dp2 = [[0] * (W + 1) for i in range(N + 2)] # dp1を埋める for i in range(N): ...
N, W = list(map(int, input().split())) items = sorted([list(map(int, input().split())) for i in range(N)]) # dp1[i][j] := 商品0 ~ i が対象 dp = [[0] * (W + 1) for i in range(N + 1)] # dpテーブルを埋める for i in range(N): wi, vi = items[i] for j in range(W + 1): if j + wi <= W: dp[i + 1][j +...
p02863
N, W = list(map(int, input().split())) items = sorted([list(map(int, input().split())) for i in range(N)]) # dp1[i][j] := 商品0 ~ i が対象 dp = [[0] * (W + 1) for i in range(N + 1)] # dpテーブルを埋める for i in range(N): wi, vi = items[i] for j in range(W + 1): if j + wi <= W: dp[i + 1][j +...
N, W = list(map(int, input().split())) items = sorted([list(map(int, input().split())) for i in range(N)]) # dp1[i][j] := 商品0 ~ i が対象 dp = [[0] * (W + 1) for i in range(N + 1)] # dpテーブルを埋める for i in range(N): wi, vi = items[i] for j in range(W + 1): if j + wi <= W: dp[i + 1][j +...
p02863
import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline n,t = list(map(int,readline().split())) f = [] m = 0 for i in range(n): p,q = list(map(int,readline().split())) m = max(m,p) f.append((p,q)) f.sort() dp = [[0]*(t+m) for i in range(n+1)] for i,c in enumerate(f): a,b ...
import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline n,t = list(map(int,readline().split())) f = [] m = 0 for i in range(n): p,q = list(map(int,readline().split())) m = max(m,p) f.append((p,q)) f.sort() dp = [[0]*(t+m) for i in range(n+1)] for i,c in enumerate(f): a,b ...
p02863
from sys import stdin def main(): #入力 readline=stdin.readline n,t=list(map(int,readline().split())) li=[list(map(int,readline().split())) for _ in range(n)] li.sort() a=[0]*n b=[0]*n for i in range(n): a[i],b[i]=li[i][0],li[i][1] #ナップサックDP inf=-float("inf") ...
from sys import stdin def main(): #入力 readline=stdin.readline n,t=list(map(int,readline().split())) li=[list(map(int,readline().split())) for _ in range(n)] li.sort() a=[0]*n b=[0]*n for i in range(n): a[i],b[i]=li[i][0],li[i][1] #ナップサックDP inf=-10**9 dp...
p02863
n,t=list(map(int,input().split())) ab=[] for i in range(n): ab.append(list(map(int,input().split()))) ab_r=list(reversed(ab)) dp1=[[0 for j in range(t)] for i in range(n+1)] dp2=[[0 for j in range(t)] for i in range(n+1)] for i in range(n): for j in range(t-1): if ab[i][0] <= j: ...
n,t=list(map(int,input().split())) ab=[] for i in range(n): ab.append(list(map(int,input().split()))) ab_r=list(reversed(ab)) dp1=[[0 for j in range(t)] for i in range(n+1)] dp2=[[0 for j in range(t)] for i in range(n+1)] for i in range(n): for j in range(t-1): if ab[i][0] <= j: ...
p02863
#16:25 n,t = list(map(int,input().split())) wv = [] for _ in range(n): wv.append(list(map(int,input().split()))) wv.sort(key=lambda x:x[0]) now = [0 for _ in range(t+1)] for i in range(n): w,v = wv[i] last = now now = [] for f in range(t): if f >= w: now.append(max(last[f-w]+v,last[f]))...
n,t = list(map(int,input().split())) dish = [] for _ in range(n): a,b = list(map(int,input().split())) dish.append([a,b]) dish.sort() now = [0 for _ in range(t+1)] for i in range(n): a,b = dish[i] for d in range(t)[::-1]: if d + a < t: now[d+a] = max(now[d+a],now[d]+b) else: now...
p02863
import math def main(): N, T = list(map(int, input().split())) C = [] for _ in range(N): A, B = list(map(int, input().split())) C.append([B, A]) C.sort() dp = [[0, 0] for _ in range(T)] ans = 0 for i in range(T): for j in range(N): if (dp...
import math def main(): N, T = list(map(int, input().split())) C = [] for _ in range(N): A, B = list(map(int, input().split())) C.append([B, A]) # C.sort() dp = [[0, 0] for _ in range(T)] ans = 0 for i in range(T): for j in range(N): if (...
p02863
import sys def LI(): return list(map(int,sys.stdin.readline().rstrip().split())) #空白あり def S(): return sys.stdin.readline().rstrip() N,T = list(map(int,S().split())) A = [0] B = [0] for i in range(N): a,b = LI() A.append(a) B.append(b) dp1 = [[0]*(T+1) for i in range(N+1)] # dp[i][j] = 1~i番目...
def main(): import sys def LI(): return list(map(int, sys.stdin.readline().rstrip().split())) # 空白あり def S(): return sys.stdin.readline().rstrip() N, T = list(map(int, S().split())) A = [0] B = [0] for i in range(N): a, b = LI() A.append(a) ...
p02863