#include <stdio.h>

const int Mod = 998244353;

int naive(char s[])
{
	int l;
	for (l = 0; s[l] != 0; l++);
	if (l % 2 != 0) return 0;
	
	unsigned int dp[2003][4003] = {}, tmp;
	int i, j, k, ll = l / 2;
	for (k = 0, dp[0][0] = 1; k < l; k++) {
		if (s[k] == '(') {
			for (i = 0; i <= k / 2; i++) {
				for (j = i * 2 + k % 2; j <= k; j += 2) {
					if (dp[i][j] == 0) continue;
					tmp = dp[i][j];
					dp[i][j] = 0;
					while (tmp >= Mod) tmp -= Mod;
					
					dp[i][j+1] += tmp;
				}
			}
		} else if (s[k] == ')') {
			for (i = 0; i <= k / 2; i++) {
				for (j = i * 2 + k % 2; j <= k; j += 2) {
					if (dp[i][j] == 0) continue;
					tmp = dp[i][j];
					dp[i][j] = 0;
					while (tmp >= Mod) tmp -= Mod;
					
					if (j > i * 2) dp[i][j-1] += tmp;
					else if (i > 0) dp[i-1][j-1] += tmp;
				}
			}
		} else if (s[k] == '?') {
			for (i = 0; i <= k / 2; i++) {
				for (j = i * 2 + k % 2; j <= k; j += 2) {
					if (dp[i][j] == 0) continue;
					tmp = dp[i][j];
					dp[i][j] = 0;
					while (tmp >= Mod) tmp -= Mod;
					
					if (j > i * 2) dp[i+1][j+1] += tmp;
					else dp[i][j+1] += tmp;
				}
			}
		} else {
			for (i = 0; i <= k / 2; i++) {
				for (j = i * 2 + k % 2; j <= k; j += 2) {
					if (dp[i][j] == 0) continue;
					tmp = dp[i][j];
					dp[i][j] = 0;
					while (tmp >= Mod) tmp -= Mod;
					
					dp[i][j+1] += tmp;
					if (j > i * 2) dp[i][j-1] += tmp;
					else if (i > 0) dp[i-1][j-1] += tmp;
					if (j > i * 2) dp[i+1][j+1] += tmp;
					else dp[i][j+1] += tmp;
				}
			}
		}
	}
	
	long long ans = 0;
	for (i = 0; i <= ll; i++) ans += dp[i][i*2];
	return ans % Mod;
}

int main()
{
	char s[4001];
	scanf("%s", s);
	printf("%d\n", naive(s));
	fflush(stdout);
	return 0;
}