Launch build: k=3 floor-weighted draw, three missions per hunter per day, HUNT_LIVE_AT lifts the curtain and opens outbound at the launch moment, badge photos to topic + general, toasts on the board

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>

lib/rewards.js

@@ -15,17 +15,25 @@
 const store = require('./store');
 const { ctDay } = require('./missions');
 
-const DEFAULTS = { minPol: 0.05, maxPol: 1, dailyCapPol: 20, lowBalancePol: 40 };
+// drawSkew k: log-uniform on u^(1/k), so k=1 is the plain log-uniform and k=3 leans hard to the floor
+// (mean ~0.13 POL on 0.05..1, one drip in eighty above 0.5). missionsPerDay: finds per hunter per
+// Central day (Marty, 2026-09-20: cap 40, k=3, 3 a day, so a launch morning does not empty the pool)
+const DEFAULTS = { minPol: 0.05, maxPol: 1, dailyCapPol: 20, lowBalancePol: 40, drawSkew: 3, missionsPerDay: 3 };
 function settings() { return Object.assign({}, DEFAULTS, store.read('settings', {})); }
 function setSettings(patch) { return store.update('settings', {}, s => Object.assign(s, patch)); }
 
-function draw(min, max) {
+function draw(min, max, skew) {
   const lo = Math.log(min), hi = Math.log(max);
-  const v = Math.exp(lo + Math.random() * (hi - lo));
+  const k = Math.max(1, Number(skew != null ? skew : settings().drawSkew) || 1);
+  const u = Math.pow(Math.random(), 1 / k); // k>1 pushes u toward 1, i.e. the value toward the floor
+  const v = Math.exp(hi - u * (hi - lo));
   return Math.round(Math.max(min, Math.min(max, v)) * 10000) / 10000;
 }
 
 // prize drips (weekly prizes) are paid from the same wallet but never count against the daily pool
+// a hunter's finds today (Central), prizes excluded
+function findsToday(memberId, day) { return store.read('payouts', []).filter(p => p.memberId === Number(memberId) && p.day === day && p.status !== 'failed' && !p.prize).length; }
+function daily(memberId) { const s = settings(); const limit = Math.max(1, Number(s.missionsPerDay) || 3); const done = findsToday(memberId, ctDay()); return { limit, done, left: Math.max(0, limit - done) }; }
 function paidToday(day) {
   return store.read('payouts', []).filter(p => p.day === day && p.status !== 'failed' && !p.prize).reduce((n, p) => n + p.pol, 0);
 }
@@ -88,4 +96,4 @@ function totals() {
   return { paid: paid.length, pol: Math.round(paid.reduce((n, p) => n + p.pol, 0) * 10000) / 10000, queued: all.filter(p => p.status === 'queued').length, today: paidToday(ctDay()), hunters: new Set(paid.map(p => p.memberId)).size };
 }
 
-module.exports = { settings, setSettings, draw, grant, completed, payable, mark, ledger, mine, totals, paidToday, pool, nextResetAt };
+module.exports = { settings, setSettings, draw, grant, completed, payable, mark, ledger, mine, totals, paidToday, pool, nextResetAt, daily, findsToday };