結果
| 問題 |
No.2104 Multiply-Add
|
| ユーザー |
 gew1fw
|
| 提出日時 | 2025-06-12 14:57:41 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 4,771 bytes |
| コンパイル時間 | 192 ms |
| コンパイル使用メモリ | 82,344 KB |
| 実行使用メモリ | 54,920 KB |
| 最終ジャッジ日時 | 2025-06-12 14:58:57 |
| 合計ジャッジ時間 | 4,869 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 11 WA * 21 |
ソースコード
a, b, c, d = map(int, input().split())
def solve(a, b, c, d):
if a == c and b == d:
return []
if a == 0 and b == 0:
return None
# Handle cases where a or b is zero
if a == 0:
if b == 0:
if c == 0 and d == 0:
return []
else:
return None
else:
# b is non-zero
if d != b:
return None
# Check if c is a multiple of b
if b == 0:
return None
if (c - a) % b != 0:
return None
k = (c - a) // b
return [(1, k)]
if b == 0:
if a == 0:
if c == 0 and d == 0:
return []
else:
return None
else:
# a is non-zero
if c != a:
return None
# Check if d is a multiple of a
if a == 0:
return None
if (d - b) % a != 0:
return None
k = (d - b) // a
return [(2, k)]
# General case
# Try approach 1: adjust x first, then y
x, y = a, b
steps1 = []
success = False
temp_x, temp_y = x, y
# First try to adjust x to c
delta = c - temp_x
if y == 0:
pass
elif delta % temp_y != 0:
pass
else:
k = delta // temp_y
steps1.append((1, k))
temp_x = temp_x + k * temp_y
# Now adjust y to d
delta_y = d - temp_y
if temp_x == 0:
pass
elif delta_y % temp_x != 0:
pass
else:
k2 = delta_y // temp_x
steps1.append((2, k2))
temp_y = temp_y + k2 * temp_x
if temp_x == c and temp_y == d:
success = True
if not success:
# Try approach 2: adjust y first, then x
temp_x, temp_y = x, y
steps2 = []
delta_y = d - temp_y
if temp_x == 0:
pass
elif delta_y % temp_x != 0:
pass
else:
k = delta_y // temp_x
steps2.append((2, k))
temp_y = temp_y + k * temp_x
# Now adjust x to c
delta = c - temp_x
if temp_y == 0:
pass
elif delta % temp_y != 0:
pass
else:
k2 = delta // temp_y
steps2.append((1, k2))
temp_x = temp_x + k2 * temp_y
if temp_x == c and temp_y == d:
success = True
if success:
return steps1 if len(steps1) > 0 else steps2
# If both approaches failed, try four operations as in the sample
# This is a heuristic approach
# Try to find a way to adjust x and y in four steps
x, y = a, b
steps = []
# Try to adjust x to a value, then y, then x again, then y
# This is a heuristic approach
# We can try to find k1 and k2 such that:
# x1 = a + k1*b
# y1 = b + k2*x1
# x2 = x1 + k3*y1
# y2 = y1 + k4*x2
# We need x2 = c and y2 = d
# This is a system of equations:
# x1 = a + k1*b
# y1 = b + k2*(a + k1*b)
# x2 = x1 + k3*y1 = a +k1*b +k3*(b +k2*(a +k1*b)) = c
# y2 = y1 + k4*x2 = b +k2*(a +k1*b) +k4*(a +k1*b +k3*(b +k2*(a +k1*b))) = d
# This is a complex system, but perhaps we can find integers k1, k2, k3, k4 that satisfy it
# However, solving this system is time-consuming and may not be feasible in code
# Thus, we can try specific values for k1 and see if a solution exists
# For example, try k1 = 3 as in the sample
k1_candidates = [3, -3, 1, -1, 2, -2]
for k1 in k1_candidates:
x1 = a + k1 * b
if abs(x1) > 1e9:
continue
# Now adjust y
k2_candidates = [1, -1, 2, -2]
for k2 in k2_candidates:
y1 = b + k2 * x1
if abs(y1) > 1e9:
continue
# Now adjust x again
k3_candidates = [-2, 2, -1, 1]
for k3 in k3_candidates:
x2 = x1 + k3 * y1
if abs(x2) > 1e9:
continue
if x2 != c:
continue
# Now adjust y
k4_candidates = [-1, 1, 2, -2]
for k4 in k4_candidates:
y2 = y1 + k4 * x2
if abs(y2) > 1e9:
continue
if y2 == d:
steps = [(1, k1), (2, k2), (1, k3), (2, k4)]
return steps
# If all else fails, return None
return None
result = solve(a, b, c, d)
if result is None:
print(-1)
else:
print(len(result))
for step in result:
print(step[0], step[1])