const fs = require("fs");
 
const s = fs.readFileSync(0, "utf8").trim();
const n = s.length;
 
const balance = new Array(n + 1).fill(0);
for (let i = 0; i < n; i++) {
  balance[i + 1] = balance[i] + (s[i] === "(" ? 1 : -1);
}
 
const total = balance[n];
 
const minPrefix = new Array(n + 1);
minPrefix[0] = balance[0];
for (let i = 1; i <= n; i++) {
  minPrefix[i] = Math.min(minPrefix[i - 1], balance[i]);
}
 
const minSuffix = new Array(n + 1);
minSuffix[n] = balance[n];
for (let i = n - 1; i >= 0; i--) {
  minSuffix[i] = Math.min(minSuffix[i + 1], balance[i]);
}
 
let ans = 0;
 
for (let i = 0; i < n; i++) {
  if (minPrefix[i] < 0) continue;
 
  if (s[i] === "(") {
    if (total === 2 && minSuffix[i + 1] - 2 >= 0) ans++;
  } else {
    if (total === -2 && minSuffix[i + 1] + 2 >= 0) ans++;
  }
}
 
console.log(ans);
 

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KCkoKCkpKSk=

()(())))