/ DSA with C++ / Phase 10 Phase 10 Days 51-57
Recursion Patterns & Backtracking Turn recursion into a problem-solving engine: subsets, permutations, combinations, grid puzzles
Phase Goal Wield the choose / explore / un-choose template on every enumeration and constraint problem.
Day 51: Subsets & subsequences at scale
The backtracking template
Practice, delayed recall, and independent transfer Choose one core problem from LeetCode, Codeforces, AtCoder, or CSES after checking its prerequisites; hide its technique label Spend 10–20 minutes retrieving one earlier mechanism and one earlier bug before new work; prioritize weak prerequisites Use a five-task bank: guided warm-up, core, changed constraint, delayed recall, optional stretch; attempt one or two, not all five on a timer Before a solution, produce a trace or brute-force plan; when stuck take one hint, act on it, then reassess Record help used, the failing input, the corrected reasoning, and a next review date; start around 1/3/7/14/30 days and adapt Reserve a weekly mixed review; after foundation readiness add a short virtual contest and upsolve one task with known prerequisites Prove progress through a delayed blank-editor reconstruction and a changed problem; a same-day quiz is supporting evidence only
Day 52: Combinations
Combination sum III & phone letters
Practice, delayed recall, and independent transfer Choose one core problem from LeetCode, Codeforces, AtCoder, or CSES after checking its prerequisites; hide its technique label Spend 10–20 minutes retrieving one earlier mechanism and one earlier bug before new work; prioritize weak prerequisites Use a five-task bank: guided warm-up, core, changed constraint, delayed recall, optional stretch; attempt one or two, not all five on a timer Before a solution, produce a trace or brute-force plan; when stuck take one hint, act on it, then reassess Record help used, the failing input, the corrected reasoning, and a next review date; start around 1/3/7/14/30 days and adapt Reserve a weekly mixed review; after foundation readiness add a short virtual contest and upsolve one task with known prerequisites Prove progress through a delayed blank-editor reconstruction and a changed problem; a same-day quiz is supporting evidence only
Day 53: Permutations
Permutations II (duplicates)
String permutations & next-perm link
Practice, delayed recall, and independent transfer Choose one core problem from LeetCode, Codeforces, AtCoder, or CSES after checking its prerequisites; hide its technique label Spend 10–20 minutes retrieving one earlier mechanism and one earlier bug before new work; prioritize weak prerequisites Use a five-task bank: guided warm-up, core, changed constraint, delayed recall, optional stretch; attempt one or two, not all five on a timer Before a solution, produce a trace or brute-force plan; when stuck take one hint, act on it, then reassess Record help used, the failing input, the corrected reasoning, and a next review date; start around 1/3/7/14/30 days and adapt Reserve a weekly mixed review; after foundation readiness add a short virtual contest and upsolve one task with known prerequisites Prove progress through a delayed blank-editor reconstruction and a changed problem; a same-day quiz is supporting evidence only
Day 54: Grid backtracking
Practice, delayed recall, and independent transfer Choose one core problem from LeetCode, Codeforces, AtCoder, or CSES after checking its prerequisites; hide its technique label Spend 10–20 minutes retrieving one earlier mechanism and one earlier bug before new work; prioritize weak prerequisites Use a five-task bank: guided warm-up, core, changed constraint, delayed recall, optional stretch; attempt one or two, not all five on a timer Before a solution, produce a trace or brute-force plan; when stuck take one hint, act on it, then reassess Record help used, the failing input, the corrected reasoning, and a next review date; start around 1/3/7/14/30 days and adapt Reserve a weekly mixed review; after foundation readiness add a short virtual contest and upsolve one task with known prerequisites Prove progress through a delayed blank-editor reconstruction and a changed problem; a same-day quiz is supporting evidence only
Day 55: Constraint puzzles — part 1
Practice, delayed recall, and independent transfer Choose one core problem from LeetCode, Codeforces, AtCoder, or CSES after checking its prerequisites; hide its technique label Spend 10–20 minutes retrieving one earlier mechanism and one earlier bug before new work; prioritize weak prerequisites Use a five-task bank: guided warm-up, core, changed constraint, delayed recall, optional stretch; attempt one or two, not all five on a timer Before a solution, produce a trace or brute-force plan; when stuck take one hint, act on it, then reassess Record help used, the failing input, the corrected reasoning, and a next review date; start around 1/3/7/14/30 days and adapt Reserve a weekly mixed review; after foundation readiness add a short virtual contest and upsolve one task with known prerequisites Prove progress through a delayed blank-editor reconstruction and a changed problem; a same-day quiz is supporting evidence only
Day 56: Constraint puzzles — part 2 & partitioning
Practice, delayed recall, and independent transfer Choose one core problem from LeetCode, Codeforces, AtCoder, or CSES after checking its prerequisites; hide its technique label Spend 10–20 minutes retrieving one earlier mechanism and one earlier bug before new work; prioritize weak prerequisites Use a five-task bank: guided warm-up, core, changed constraint, delayed recall, optional stretch; attempt one or two, not all five on a timer Before a solution, produce a trace or brute-force plan; when stuck take one hint, act on it, then reassess Record help used, the failing input, the corrected reasoning, and a next review date; start around 1/3/7/14/30 days and adapt Reserve a weekly mixed review; after foundation readiness add a short virtual contest and upsolve one task with known prerequisites Prove progress through a delayed blank-editor reconstruction and a changed problem; a same-day quiz is supporting evidence only
Day 57: Backtracking mastery & pruning
Practice, delayed recall, and independent transfer Choose one core problem from LeetCode, Codeforces, AtCoder, or CSES after checking its prerequisites; hide its technique label Spend 10–20 minutes retrieving one earlier mechanism and one earlier bug before new work; prioritize weak prerequisites Use a five-task bank: guided warm-up, core, changed constraint, delayed recall, optional stretch; attempt one or two, not all five on a timer Before a solution, produce a trace or brute-force plan; when stuck take one hint, act on it, then reassess Record help used, the failing input, the corrected reasoning, and a next review date; start around 1/3/7/14/30 days and adapt Reserve a weekly mixed review; after foundation readiness add a short virtual contest and upsolve one task with known prerequisites Prove progress through a delayed blank-editor reconstruction and a changed problem; a same-day quiz is supporting evidence only
After this phase, you'll be able to:
Subsets & subsequences at scale Combinations Permutations Grid backtracking Constraint puzzles — part 1 Constraint puzzles — part 2 & partitioning Backtracking mastery & pruning After Phase 10, explain a core invariant, reconstruct a solution after a delay, diagnose a bug, and solve one unlabelled variation. Repair a failed prerequisite before advancing; record help separately from independent work.