Fix score distribution chart and add auto-assign for transfer dialog

- Fix bar chart CSS: percentage heights now resolve correctly with flex-1
  and absolute bottom-anchored bars
- Add Auto-assign button to transfer assignments dialog that distributes
  projects across eligible jurors balanced by load, preferring jurors who
  haven't completed all evaluations and are under their cap

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

src/app/(admin)/admin/rounds/[roundId]/page.tsx

@@ -89,6 +89,7 @@ import {
   History,
   ChevronRight,
   ArrowRightLeft,
+  Sparkles,
 } from 'lucide-react'
 import {
   Command,
@@ -2651,6 +2652,48 @@ function TransferAssignmentsDialog({
   const [destOverrides, setDestOverrides] = useState<Record<string, string>>({})
   const [forceOverCap, setForceOverCap] = useState(false)
 
+  // Auto-assign: distribute assignments across eligible candidates balanced by load
+  const handleAutoAssign = () => {
+    if (!candidateData) return
+    const movable = candidateData.assignments.filter((a) => a.movable)
+    if (movable.length === 0) return
+
+    // Simulate load starting from each candidate's current load
+    const simLoad = new Map<string, number>()
+    for (const c of candidateData.candidates) {
+      simLoad.set(c.userId, c.currentLoad)
+    }
+
+    const overrides: Record<string, string> = {}
+
+    for (const assignment of movable) {
+      const eligible = candidateData.candidates
+        .filter((c) => c.eligibleProjectIds.includes(assignment.projectId))
+
+      if (eligible.length === 0) continue
+
+      // Sort: prefer not-all-completed, then under cap, then lowest simulated load
+      const sorted = [...eligible].sort((a, b) => {
+        // Prefer jurors who haven't completed all evaluations
+        if (a.allCompleted !== b.allCompleted) return a.allCompleted ? 1 : -1
+        const loadA = simLoad.get(a.userId) ?? 0
+        const loadB = simLoad.get(b.userId) ?? 0
+        // Prefer jurors under their cap
+        const overCapA = loadA >= a.cap ? 1 : 0
+        const overCapB = loadB >= b.cap ? 1 : 0
+        if (overCapA !== overCapB) return overCapA - overCapB
+        // Then pick the least loaded
+        return loadA - loadB
+      })
+
+      const best = sorted[0]
+      overrides[assignment.id] = best.userId
+      simLoad.set(best.userId, (simLoad.get(best.userId) ?? 0) + 1)
+    }
+
+    setDestOverrides(overrides)
+  }
+
   const transferMutation = trpc.assignment.transferAssignments.useMutation({
     onSuccess: (data) => {
       utils.assignment.listByStage.invalidate({ roundId })
@@ -2799,6 +2842,12 @@ function TransferAssignmentsDialog({
               <p className="text-sm text-muted-foreground text-center py-6">No eligible candidates found.</p>
             ) : (
               <>
+                <div className="flex items-center justify-end">
+                  <Button variant="outline" size="sm" onClick={handleAutoAssign}>
+                    <Sparkles className="mr-1.5 h-3.5 w-3.5" />
+                    Auto-assign
+                  </Button>
+                </div>
                 <div className="space-y-2 max-h-[350px] overflow-y-auto">
                   {candidateData.assignments.filter((a) => a.movable).map((assignment) => {
                     const currentDest = destOverrides[assignment.id] ||