N = int(input())

A_li = [0]
B_li = [0]

aa = bb = bsum = 0

for i in range(N):
	a,b = map(int,input().split())
	A_li.append(a)
	B_li.append(b)
	if aa < bb:
		aa += a
	else:
		bb += b
	bsum += b
	
		
ma = max(aa,bb)	+ 1

dp = [0] * ma

for i in range(1,N+1):
	weight = A_li[i]
	value = B_li[i]
	for w in range(ma-1 , weight-1 , -1):
		if dp[w] < dp[w-weight] + value:
			dp[w] = dp[w-weight] + value
	
ans = 10**20	
	
	
for w in range(1,ma):
	ans1 = max(w, (bsum - dp[w]))
	ans = min(ans,ans1)
	
print(ans)