Buggy python submission (verdict: Time Limit Exceeded):
# E - Colorful Blocks
import sys
readline = sys.stdin.readline

MOD = 998244353
N, M, K = map(int, readline().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i] * (i+1) % MOD)

f_inv = [1] * N
f_inv[N-1] = pow(f[N-1], MOD-2, MOD)
for i in range(N-1)[::-1]:
    f_inv[i] = f_inv[i+1] * (i+1) % MOD

# 組み合わせ関数
def comb_mod(n, r, p):
    return (f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p))%p

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i, MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)


Fixed submission:
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# E - Colorful Blocks
import sys
readline = sys.stdin.readline

MOD = 998244353
N, M, K = map(int, readline().split())

def pow_mod(x, n, mod):
    ans = 1
    while n>0:
        if n&1==1:
            ans = (ans * x)%mod
        x = (x * x)%mod
        n >>= 1
    return ans

f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

def comb_mod(n, r, p):
    return (f[n] * pow_mod(f[r], p-2, p) * pow_mod(f[n-r], p-2, p))%p

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow_mod(M-1, N-1-i, MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)


Fixed submission:
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# E - Colorful Blocks
import sys
readline = sys.stdin.readline

MOD = 998244353
N, M, K = map(int, readline().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return (f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p))%p

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i, MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)


Fixed submission:
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# E - Colorful Blocks
import sys
readline = sys.stdin.readline

MOD = 998244353
N, M, K = map(int, readline().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)


Fixed submission:
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)


Fixed submission:
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)


Fixed submission:
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

def comb_mod(n, r, p):
    num = 1
    den = 1
    r = min(r, n-r)
    for i in range(r):
        num = (num * (n-i)) % p
        den = (den * (i+1)) % p
    return num * pow(den, p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)


Fixed submission:
# E - Colorful Blocks

MOD = 998244353
N, M, K = map(int, input().split())

# 予め階乗を計算しておく
f = [1]
for i in range(N):
    f.append(f[i]*(i+1)%MOD)

# 組み合わせ関数
def comb_mod(n, r, p):
    return f[n] * pow(f[r], p-2, p) * pow(f[n-r], p-2, p)

ans = 0
for i in range(K+1):
    ans = (ans + (M*pow(M-1, N-1-i,MOD)) * comb_mod(N-1, i, MOD))%MOD

print(ans)