User Retention & Engagement Questions
Measuring and improving how users stick with a product after they first convert: retention rate and cohort retention curves (day 1, day 7, day 30, and longer horizons), churn rate, reactivation and resurrection of lapsed users, and engagement-depth signals such as DAU, WAU, MAU, and the DAU/MAU stickiness ratio. Covers defining and computing these metrics, including basic SQL and event-log implementations, diagnosing where and why a retention curve breaks (onboarding gaps, feature-adoption gaps, seasonal or cohort-specific effects), designing experiments and product interventions that deepen habitual usage, cohort-based lifetime value (LTV), and communicating retention findings to stakeholders. This is the post-acquisition, repeat-usage side of the user lifecycle: getting a first-time visitor through signup or first purchase is covered by the companion topic Conversion Funnel Optimization, and pure-SQL implementation depth at large scale (approximate-distinct computation, survival-curve modeling, multi-state subscription churn state machines, and standalone timezone-aware day bucketing) is covered by the companion topic Advanced SQL: Metric Monitoring, Anomaly Detection, and Data Correctness at Scale.
You will run a reactivation email campaign. List the key short-term and long-term metrics you will track to determine success. Explain why open and click rates might be misleading and which downstream metrics better reflect long-term retention improvement.
Sample Answer
Direct answer
Track short-term delivery metrics (opens, clicks) only as diagnostic signals that the email itself worked mechanically, and track medium- and long-term DOWNSTREAM metrics (did the user actually return and DO something in the product, and did they stay active weeks later) as the metrics that actually define campaign success; open and click rates can rank two campaigns in the opposite order from what genuinely matters if the campaign that "performs" better on opens is optimizing for an eye-catching subject line rather than for durable value.
Structured elaboration
Why open and click rate are structurally misleading as SUCCESS metrics, not just noisy. An open or a click measures curiosity about the SUBJECT LINE or the EMAIL COPY, which is a genuinely different thing from measuring whether the underlying reactivation actually worked. A subject line optimized purely to maximize opens (urgency language, an aggressive discount headline) can systematically attract users who are curious but not genuinely re-engaging, while a duller subject line that points directly at real product value can attract fewer but more durably reactivated users. The two metrics are measuring different constructs, so a campaign can win on one and lose on the other by design, not by chance.
The short-term-to-long-term metric ladder to track instead:
- Delivery/mechanical health (delivered, bounced, spam-complained): confirms the email actually reached inboxes; a necessary but not sufficient signal.
- Open and click rate: confirms the SUBJECT LINE and CALL TO ACTION worked; useful for diagnosing the email itself, not for judging the campaign's business value.
- Day-1 (or next-session) reactivation rate: did the user actually come back and do something in the product, the first real behavioral signal.
- Day-7/day-30 retention of reactivated users: of the users who came back, how many are STILL active weeks later, the metric that actually reflects whether the campaign produced durable value rather than a one-time visit.
- A holdout-based incremental lift on the day-30 retention number specifically (comparing the campaign's recipients against a matched or randomized holdout who received no email), since without a control group even day-30 retention of "reactivated" users can be confounded by users who would have come back anyway.
Guardrails. Track unsubscribe rate and spam-complaint rate alongside the funnel above; a campaign that maximizes opens via aggressive subject lines can simultaneously increase unsubscribes, quietly shrinking the pool of users reachable by FUTURE campaigns even if this one campaign's headline numbers look good.
Worked example
Illustrative, pinned scenario: two subject-line variants sent to 1,000 dormant users each. Variant B uses a flashier discount-focused subject line; Variant A points directly at a genuine feature update.
variant_A = {"sent": 1000, "opened": 220, "clicked": 90, "returned_day1": 150, "still_active_day30": 95}
variant_B = {"sent": 1000, "opened": 410, "clicked": 260, "returned_day1": 240, "still_active_day30": 40}
def rate(n, d): return round(100 * n / d, 1)
for name, v in [("A", variant_A), ("B", variant_B)]:
print(f"Variant {name}: open={rate(v['opened'],v['sent'])}% click={rate(v['clicked'],v['sent'])}% "
f"day1_reactivation={rate(v['returned_day1'],v['sent'])}% "
f"day30_of_sent={rate(v['still_active_day30'],v['sent'])}%")
Output (actually executed):
Variant A: open=22.0% click=9.0% day1_reactivation=15.0% day30_of_sent=9.5%
Variant B: open=41.0% click=26.0% day1_reactivation=24.0% day30_of_sent=4.0%
Variant B wins decisively on every top-of-funnel metric (open rate nearly double, click rate nearly triple), and would be declared the "better" campaign by anyone reading only opens and clicks. But Variant A produces MORE than double B's day-30-retention-of-sent (9.5% vs. 4.0%): B pulled in a larger volume of curious but shallow returns that mostly did not stick, while A's smaller, more targeted response converted into durable reactivation at a much higher rate. Judging the campaign on open/click alone would have selected the objectively worse campaign by the metric that actually reflects business value.
Trade-offs and pitfalls
- The reversal shown above is not a hypothetical edge case; it is the exact failure mode this question is testing for. Any campaign metric that rewards attention-grabbing rather than genuine value (open rate, click rate, even raw day-1 reactivation count without a downstream check) can be gamed by copy that maximizes short-term curiosity at the expense of the outcome that matters.
- Downstream metrics take longer to observe, which is real friction: a team under pressure to report results quickly may default to open/click because they are available same-day, even knowing they can mislead; the fix is not to abandon them (they remain useful DIAGNOSTIC signals for the email's mechanics) but to explicitly label them as leading indicators of email quality, not proxies for campaign success.
- Without a holdout group, even the day-30 number can overstate the campaign's true incremental effect, since some fraction of "reactivated" users might have returned on their own regardless of the email; a rigorous read of a reactivation campaign needs the incremental lift over a comparable no-email control, not just the raw reactivated-user retention rate.
Discuss the trade-offs between using financial incentives (discounts, credits) and product improvements (better onboarding, features) to improve retention. Propose an experiment that would reveal whether incentives create durable retention or only temporary lifts.
Sample Answer
Direct answer
Financial incentives reliably move short-term retention because they pay users to come back, but that lift is only durable if the incentive-driven return exposes the user to the product's real value; product improvements move retention more slowly but the lift tends to persist because it changes the user's actual experience. The experiment that reveals which is happening is a randomized comparison with a long enough read-out window to watch the incentive arm's lift AFTER the incentive itself has stopped being offered.
Structured elaboration
Why incentives and product improvements produce structurally different curves. An incentive (a discount, a credit) is an EXTERNAL reason to return that exists independently of whether the product itself got better; once the incentive period ends or the user exhausts the credit, the behavioral driver disappears, and retention should revert toward whatever the user's true underlying engagement with the product was. A product improvement is an INTERNAL change to the experience itself, so if it genuinely makes the product more useful or easier to use, the effect on retention should persist as long as the improvement remains in the product, with no separate "expiration" event.
Designing the experiment. Three arms, randomized at the user level: (1) control, no intervention; (2) incentive arm, a discount or credit with a defined, disclosed expiration; (3) product-improvement arm, the actual feature/onboarding change. Track retention at week 1 (captures the immediate effect of either intervention) AND at a point clearly AFTER the incentive has expired, say week 8. The key comparison is not the week-1 lift (both arms may show a lift there) but the FRACTION of each arm's week-1 lift that survives to week 8, which operationalizes "durable vs. temporary" as a number rather than a guess: durability=lift at week 1lift at week 8.
Guardrails to add. Track incentive REDEMPTION and product usage DURING the incentive window separately from the retention outcome itself, so you can distinguish "the user came back and used the incentive but never touched the core product" from "the user came back, used the incentive, and that exposure led them to discover real value." Also track cost per incremental retained user for the incentive arm (redemption cost / incremental retained users vs. control), since an incentive that produces a real but expensive lift may still not be the right lever compared to a cheaper, durable product fix.
Worked example
Pinned illustrative scenario: 1,000 users per arm, drawn from the same acquisition source in the same signup week. Numbers below are a constructed example chosen to show HOW you would read out durability, not a claimed real-world benchmark.
control_w1, control_w8 = 300, 180
discount_w1, discount_w8 = 550, 190
product_w1, product_w8 = 380, 260
def pct(n, total=1000):
return round(100 * n / total, 1)
discount_lift_w1 = pct(discount_w1) - pct(control_w1)
discount_lift_w8 = pct(discount_w8) - pct(control_w8)
product_lift_w1 = pct(product_w1) - pct(control_w1)
product_lift_w8 = pct(product_w8) - pct(control_w8)
print(f"control: week1={pct(control_w1)}% week8={pct(control_w8)}%")
print(f"discount: week1={pct(discount_w1)}% week8={pct(discount_w8)}% lift_w1={discount_lift_w1}pp lift_w8={discount_lift_w8}pp")
print(f"product: week1={pct(product_w1)}% week8={pct(product_w8)}% lift_w1={product_lift_w1}pp lift_w8={product_lift_w8}pp")
print(f"discount durability = {round(100*discount_lift_w8/discount_lift_w1,1)}%")
print(f"product durability = {round(100*product_lift_w8/product_lift_w1,1)}%")
Output (actually executed):
control: week1=30.0% week8=18.0%
discount: week1=55.0% week8=19.0% lift_w1=25.0pp lift_w8=1.0pp
product: week1=38.0% week8=26.0% lift_w1=8.0pp lift_w8=8.0pp
discount durability = 4.0%
product durability = 100.0%
The discount arm shows a much BIGGER week-1 lift (25pp vs. 8pp) but only 4% of that lift survives to week 8, essentially reverting to the control baseline once the money stops. The product-improvement arm shows a smaller week-1 lift but 100% of it persists to week 8, the signature of a change that actually altered the user's ongoing relationship with the product rather than just paying for a temporary visit.
Trade-offs and pitfalls
- Reading week-1 lift alone is the classic mistake this question is testing for. If the incentive arm were the only one measured, and only at week 1, it would look like the clear winner (25pp vs. 8pp); the durability comparison at week 8 is what reverses the conclusion, so the experiment design (choosing WHEN to read out, not just whether to randomize) is the actual decision that matters here.
- Incentives are not always purely temporary. If the incentive successfully gets a user to try a feature they would never have discovered otherwise, and that feature turns out to be genuinely sticky, part of the incentive arm's lift can persist for reasons that have nothing to do with the money itself; separating "incentive as a discovery mechanism" from "incentive as a payment for attendance" usually requires an additional arm or a mediation analysis on in-incentive-window product usage, not just the top-line retention numbers.
- Cost is a real trade-off, not a footnote. Even a durable incentive-driven lift needs to be weighed against its dollar cost per retained user; a product improvement with the same durable lift and zero variable cost per user is close to strictly better once the one-time engineering cost is amortized.
Suppose a product has low WAU/MAU ratio. Propose three hypotheses (product, acquisition, or data issues) to explain low ratio, and for each hypothesis describe a diagnostic metric or query you would run to validate it.
Sample Answer
Direct answer
A low WAU/MAU (weekly-active-to-monthly-active) ratio means most of a product's reachable monthly base is showing up rarely, not weekly; the three buckets to check are a genuine PRODUCT problem (the product doesn't warrant weekly use, or something is discouraging return visits), an ACQUISITION problem (recent acquisition brought in a large low-intent cohort that inflates MAU without ever forming a habit), or a DATA problem (the "active" event definition or a bot/duplicate-account issue is distorting one side of the ratio but not the other).
Structured elaboration
Hypothesis 1: Product genuinely doesn't warrant weekly use, or something discourages return visits. Some products are legitimately monthly-cadence by nature (subscription billing review tools, a monthly report generator); for those, a low WAU/MAU is not a problem, it is a correct reflection of the use case, and the diagnostic is really "am I comparing this product's ratio against the right baseline" rather than "why is this broken." For products meant to be used more often, low WAU/MAU can mean users complete a task, get what they need, and don't return until the NEXT time they need that same task, i.e. shallow, transactional usage rather than habitual usage.
Diagnostic: segment DAU/WAU/MAU by FEATURE, not just overall; if one or two features drive nearly all activity and the rest of the product sits unused, that's evidence the core loop itself doesn't currently give users a reason to come back more than once in a while.
Hypothesis 2: Acquisition problem, a recent low-intent surge diluting the ratio. A large recent signup wave (a marketing campaign, a viral moment, a free-tier promotion) can add many users to the MAU denominator who were never going to become weekly users, mechanically dragging WAU/MAU down even if the PRE-EXISTING user base's habitual behavior hasn't changed at all.
Diagnostic: compute WAU/MAU segmented by cohort age (users acquired more than 90 days ago vs. users acquired in the last 30 days); if the ratio is healthy for the older cohort and low only for the newest cohort, the issue is acquisition mix and onboarding for new users, not a regression in the core product for people who have already formed a habit.
Hypothesis 3: Data issue in the "active" event definition, or a bot/duplicate-account distortion. If the event counted as "MAU-qualifying" is much broader or looser than the event counted as "WAU-qualifying" (e.g., MAU includes passive events like a push notification received, while WAU only counts an explicit in-app action), the ratio compares two structurally different definitions of activity rather than the same definition measured at two frequencies, which will produce a low ratio regardless of real user behavior. Similarly, a batch of bot accounts or test accounts that fire a single MAU-qualifying event once a month (but never a WAU-qualifying weekly action) inflates MAU without ever appearing in WAU.
Diagnostic: confirm both DAU and MAU are computed from the SAME event definition, just aggregated over different windows; then check the account list contributing to MAU-but-not-WAU for an anomalous concentration of accounts with suspicious signup patterns (same IP, same signup burst, no other product usage at all).
Worked example
A B2B analytics tool reports DAU=800, WAU=3,000, MAU=15,000, so DAU/MAU=5.3% and WAU/MAU=20%, both on the low end for a tool meant for regular weekday use. Running the three diagnostics: segmenting by feature shows 70% of WAU comes from a single "dashboard view" action while three other core features are used by fewer than 5% of MAU, supporting Hypothesis 1 (shallow, single-feature usage). Segmenting by cohort age shows users acquired more than 90 days ago have WAU/MAU=34%, meaningfully healthier than the aggregate 20%, supporting Hypothesis 2 (a recent acquisition wave, confirmed separately to be a free-trial promotion launched 3 weeks earlier, is diluting the aggregate ratio). Checking the MAU-but-not-WAU account list shows no anomalous concentration, ruling out Hypothesis 3 for this product. The combined read: the low aggregate ratio is real but partly a temporary acquisition-mix artifact layered on top of a genuine, pre-existing shallow-usage pattern concentrated in one feature.
Trade-offs and pitfalls
- Comparing WAU/MAU against a generic industry benchmark without first confirming the product's expected cadence is a common mistake; a genuinely monthly-cadence product will always look "bad" against a benchmark calibrated for daily-cadence products, and chasing that number up is chasing the wrong goal.
- Running only ONE of the three diagnostics and concluding the whole story is a real risk, since the worked example above shows two of the three hypotheses can be simultaneously true and interacting (acquisition dilution stacked on top of genuinely shallow habitual usage); segmenting by feature alone or by cohort age alone would each have told only part of the story.
- Fixing the metric definition (Hypothesis 3) is sometimes mistaken for fixing the product. If DAU and MAU turn out to be using inconsistent event definitions, correcting that will change the reported ratio without changing any real user behavior; that correction is necessary for the metric to be trustworthy, but it is not itself a retention win and should not be reported as one.
You have a limited growth budget. Acquisition gives CAC = $30 with expected LTV = $45 per new user. A retention program costs $10k and is expected to raise 6-month LTV by $5 for 500k active users. Which investment gives higher ROI? Show the math and discuss non-financial factors to consider when choosing between acquisition and retention.
Sample Answer
Direct answer
On the numbers as given, the retention program's return dwarfs the acquisition option by roughly two orders of magnitude, but that gap is itself a signal to interrogate the inputs rather than accept at face value: a $10,000 program claiming to durably raise 6-month LTV by $5 for 500,000 already-active users is an extraordinarily cheap lever, and a careful answer says so explicitly before recommending it, alongside the real non-financial factors (feasibility, risk, and diminishing returns) that the raw math cannot capture.
Structured elaboration
The acquisition math. Profit per new user =LTV−CAC=45−30=$15. Return on the CAC investment =15/30=50%, a healthy, ordinary-looking acquisition economics figure.
The retention math. Total value created =$5×500,000=$2,500,000, against a $10,000 cost, for a net gain of $2,490,000 and a return of 2,490,000/10,000=24,900%, or a 250x multiple on spend.
Why this comparison, taken at face value, should raise suspicion rather than immediate confidence. A program costing $10,000 that reliably moves a behavioral metric (LTV) for 500,000 already-existing users is claiming an almost impossibly low per-user cost of intervention, $0.02 per user ($10,000/500,000). Real retention programs (a redesigned onboarding flow, a lifecycle email system, a loyalty mechanic) typically carry both meaningful one-time engineering cost AND ongoing operating cost that scales at least somewhat with user count, neither of which a flat $10,000 figure plausibly captures at this scale. The HONEST analytical move here is not to simply report the 250x figure as the answer, but to name this implausibility directly: either the $10,000 figure is understated (missing engineering time, ongoing maintenance, or opportunity cost), or the claimed $5 LTV lift is itself an optimistic assumption not yet validated by an actual experiment, or both.
Non-financial factors to weigh even after correcting the obvious implausibility. Acquisition scales roughly linearly with spend (doubling ad budget roughly doubles new users, modulo channel saturation), giving management fine-grained, continuous control over growth rate; a retention program's effect size, once shipped, is comparatively fixed and does not scale with additional spend the same way, so the two levers have very different flexibility profiles even when their headline ROI numbers are comparable. Retention improvements also typically compound (a durably retained cohort keeps generating value in FUTURE periods too, not just the one 6-month window this calculation captures), which the CAC comparison, evaluated over a single LTV snapshot, does not fully credit either lever for. Risk profile differs too: an acquisition channel's ROI is relatively easy to measure quickly and stop if it underperforms, while a shipped product change affecting 500,000 users' experience carries real execution risk (a poorly-designed retention mechanic can backfire) that a clean point-estimate LTV lift does not capture.
Worked example
The core arithmetic, run explicitly:
cac = 30
ltv_acq = 45
acq_roi = (ltv_acq - cac) / cac
program_cost = 10000
ltv_lift_per_user = 5
active_users = 500000
total_value_created = ltv_lift_per_user * active_users
retention_roi = (total_value_created - program_cost) / program_cost
cost_per_user = program_cost / active_users
print(f"acquisition profit/user = ${ltv_acq - cac}, ROI = {acq_roi:.0%}")
print(f"retention total value = ${total_value_created:,}, net = ${total_value_created - program_cost:,}")
print(f"retention ROI = {retention_roi:.0%} ({total_value_created/program_cost:.0f}x)")
print(f"implied retention program cost per user = ${cost_per_user}")
Output (actually executed):
acquisition profit/user = $15, ROI = 50%
retention total value = $2,500,000, net = $2,490,000
retention ROI = 24900% (250x)
implied retention program cost per user = $0.02
The final line, $0.02 per user, is the number that should give any candidate pause before recommending the retention program purely on the strength of the 250x figure; flagging it is what separates a senior answer from one that mechanically reports whichever number is larger.
Trade-offs and pitfalls
- Recommending the retention program purely because 250x beats 50% is the single most common shortcut this question invites, and it is exactly the shortcut a careful candidate should resist by naming the implausibility of the underlying cost assumption before accepting the conclusion.
- Even after adjusting for a more realistic program cost, retention and acquisition are not perfectly substitutable levers, since one scales continuously with spend and the other does not; a real budget decision typically wants BOTH, allocated according to their respective marginal returns at the CURRENT margin, not an all-or-nothing choice between the two options as stated.
- A single 6-month LTV snapshot undercounts a durable retention improvement's TRUE value, since a retained cohort keeps contributing in periods beyond the one measured; this cuts in favor of the retention option being under-, not over-, valued by the given numbers, a genuine tension with the cost-implausibility concern raised above and worth naming as an open question rather than resolved in either direction.
Define churn rate and retention rate for a subscription product. Provide the standard formulas for both (include numerator and denominator), explain measurement windows (daily/weekly/monthly/cohort vs rolling), and describe when to prefer DAU, MAU, and the DAU/MAU ratio as engagement signals. Mention common pitfalls (reactivation, multi-product users, measurement lag).
Sample Answer
Direct answer
Retention rate is the share of a cohort still active at a given point after they started; churn rate is its complement over a period, the share who stop being active during that period. Choose the measurement window (daily, weekly, monthly, cohort-based, or rolling) to match how often a user is EXPECTED to engage with the product, and prefer DAU, MAU, or the DAU/MAU ratio depending on whether you need a raw activity count, a broader reach number, or a normalized sense of how habitual usage is.
Structured elaboration
Formulas.
retention rate (cohort, day N)=total users in the cohortusers from the cohort active on day N churn rate (period)=users active at the start of the periodusers active at the start of the period who became inactive during itCohort retention and period churn are not simple complements of each other in general: cohort retention is anchored to a fixed starting group and tracked forward from a single start date, while period churn (as commonly defined for a subscription business) is measured against whoever was active at the START of each new period, which includes both original cohort members and anyone reactivated since. A rolling monthly churn rate can be low even while a specific signup cohort's long-run retention curve is decaying, because reactivated and newer users are propping up the "active at period start" denominator.
Measurement windows. Daily windows suit products used multiple times a day (messaging, social feeds); weekly suits products with a natural weekly cadence (many B2B SaaS tools, meal planning); monthly suits genuinely low-frequency but still-recurring products (subscription billing itself, monthly reporting tools). Cohort-based measurement (users grouped by signup date, tracked forward) answers "how long do users from THIS specific group stick around," useful for evaluating whether a specific onboarding change or acquisition channel produces durable users. Rolling-window measurement (e.g., MAU as of today, computed fresh every day) answers "how healthy is the whole active base right now," useful for an operational dashboard, but blends cohorts of very different ages together and can mask a young cohort's poor retention if older cohorts are still large.
When to prefer DAU, MAU, or DAU/MAU. DAU alone answers "how many people used the product today," useful for daily operational monitoring but sensitive to day-of-week effects (a B2B tool's DAU naturally craters on weekends) and to one-off spikes (a marketing push). MAU answers "how large is the reachable, still-engaged base," a smoother, less day-of-week-sensitive number, but it can hide a genuine engagement problem: MAU stays flat even while individual users are visiting less often, as long as SOMEONE from that base shows up at least once in 30 days. DAU/MAU (the "stickiness ratio," bounded in [0,1] since DAU <= MAU by construction) answers the question DAU and MAU cannot answer alone: of the people who came back at all this month, how large a fraction come back on a typical single day. A rising MAU with a falling DAU/MAU means the user base is growing but each individual user's habit is thinning, a pattern raw DAU or MAU numbers alone would not surface.
Common pitfalls.
- Reactivation contaminating a "clean" retention read. If a user churns and later comes back, whether that counts as "retained" or as a fresh entry into a different cohort depends on the metric's definition; conflating the two makes both cohort retention and churn look better than the underlying habit-formation story actually is.
- Multi-product users. A user who stops using Product A but keeps using Product B within the same account can look "churned" on A's metrics while being a perfectly healthy account overall; whether churn should be measured per-product or per-account needs to be decided explicitly and stated when reporting the number.
- Measurement lag. A churn definition based on "N days of inactivity" cannot declare a user churned until N days have actually passed, so the most recent N-day window's churn count is always understated (right-censored) until it ages out; reporting last week's churn rate as final on the day it happens will systematically undercount.
Worked example
A subscription cohort of 1,000 users signs up in week 0. By week 4, 640 remain active and 360 have cancelled.
retention rate (week 4)=640/1000=0.64=64% churn rate (cumulative through week 4)=360/1000=0.36=36%Here retention and churn ARE simple complements (64% + 36% = 100%) because both are measured against the SAME fixed cohort over the SAME fixed period, which is the one case where the complement relationship cleanly holds; the moment churn is instead measured as a ROLLING monthly rate against "whoever was active at the start of each month" (mixing in later reactivations and newer signups), that clean complement relationship breaks, for the reason described above.
Trade-offs and pitfalls
- Reporting a single DAU/MAU number without segmenting by cohort age can hide the real story: a young cohort with a poor stickiness ratio can be masked by a large, older, habitual user base still dominating the aggregate MAU.
- Choosing a measurement window that does not match the product's natural usage cadence produces misleadingly alarming (or misleadingly reassuring) numbers: daily retention on a weekly-cadence B2B tool will look artificially poor every single day that is not a typical usage day for that user.
- Defining churn purely on subscription STATUS (cancelled vs. not) ignores users who are still technically subscribed but have stopped meaningfully engaging (sometimes called "silent churn" or "zombie" accounts); a status-only churn metric will look healthy right up until the renewal decision, while an engagement-based leading indicator would have flagged the risk weeks earlier.
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