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Fixes 2.
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src/num_methods/binary_search.md

Lines changed: 11 additions & 12 deletions
Original file line numberDiff line numberDiff line change
@@ -168,31 +168,30 @@ We generally process this table by columns (queries), but notice that in each ro
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vector<int> parallel_binary_search(vector<int>& A, vector<int>& X) {
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int N = A.size();
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int M = X.size();
171-
vector<int> left(M, -1);
172-
vector<int> right(M, N-1);
171+
vector<int> l(M, -1), r(M, N-1);
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for (int step = 1; step <= ceil(log2(N)); ++step) {
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// Map to store indices of queries asking for this value.
176-
unordered_map<int, vector<int>> mid_to_queries;
175+
unordered_map<int, vector<int>> m_to_queries;
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178-
// Calculate mid and populate the mid_to_queries map.
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// Calculate middle point and populate the m_to_queries map.
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for (int i = 0; i < M; ++i) {
180-
int mid = (left[i] + right[i]) / 2;
181-
mid_to_queries[mid].push_back(i);
179+
int m = (l[i] + r[i]) / 2;
180+
m_to_queries[m].push_back(i);
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}
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184-
// Process each value in mid_to_queries.
185-
for (const auto& [mid, queries]: mid_to_queries) {
183+
// Process each value in m_to_queries.
184+
for (const auto& [m, queries]: m_to_queries) {
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for (int query : queries) {
187-
if (X[query] < A[mid]) {
188-
right[query] = mid;
186+
if (X[query] < A[m]) {
187+
r[query] = m;
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} else {
190-
left[query] = mid;
189+
l[query] = m;
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}
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}
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}
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}
195-
return left;
194+
return l;
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}
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```
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