def find_closest_sum_dp(numbers, target):
dp = {0: []}

for num in numbers:
new_dp = dp.copy()
for partial_sum, combo in dp.items():
new_sum = partial_sum + num
if new_sum not in dp or abs(target - new_sum) < abs(target - partial_sum):
new_dp[new_sum] = combo + [num]
dp = new_dp

closest_sum = min(dp, key=lambda x: abs(target - x))
return dp[closest_sum]

numbers = [1, 2, 3, 4, 5]
target = 9
result = find_closest_sum_dp(numbers, target)
print(result)