Color code hooks for RR

Add color-coding for generated hooks and mirror colors on RR partition.
- Introduce hookColors and baseHue state for pastel color shading.
- Generate random base color per run and derive diagonal hook colors across both diagrams.
- Apply consistent colors to Ferrers diagram highlights and Rogers-Ramanujan partition boxes.
- Ensure muted pastel shades traverse along the diagonal hooks and reflect on both views.

X-Lovable-Edit-ID: edt-8409dc4c-1a65-459a-9898-f0e32c8966a0

src/components/FerrersRogersRamanujan.tsx

@@ -13,6 +13,8 @@ const FerrersRogersRamanujan = () => {
   const [animatingHook, setAnimatingHook] = useState<{ row: number; col: number } | null>(null);
   const [animationStep, setAnimationStep] = useState(0);
   const [isAnimating, setIsAnimating] = useState(false);
+  const [hookColors, setHookColors] = useState<string[]>([]);
+  const [baseHue, setBaseHue] = useState(0);
 
   useEffect(() => {
     // Initialize sliders with all zeros
@@ -45,6 +47,7 @@ const FerrersRogersRamanujan = () => {
     setAnimatingHook(null);
     setAnimationStep(0);
     setIsAnimating(false);
+    setHookColors([]);
   };
 
   const generateRRPartition = () => {
@@ -53,11 +56,25 @@ const FerrersRogersRamanujan = () => {
       return;
     }
 
+    // Pick a random base hue (0-360)
+    const newBaseHue = Math.floor(Math.random() * 360);
+    setBaseHue(newBaseHue);
+    setHookColors([]);
     setRRPartition([]);
     setAnimationStep(0);
     setIsAnimating(true);
   };
 
+  // Generate muted pastel color for current hook
+  const generateHookColor = (index: number, total: number) => {
+    // Move through shades of the base hue
+    const hueVariation = (index / Math.max(total - 1, 1)) * 60 - 30; // ±30 degrees
+    const hue = (baseHue + hueVariation + 360) % 360;
+    const saturation = 45 + (index % 3) * 10; // 45-65% for muted pastels
+    const lightness = 75 + (index % 2) * 5; // 75-80% for pastels
+    return `hsl(${hue}, ${saturation}%, ${lightness}%)`;
+  };
+
   // Animation effect - traverse main diagonal only
   useEffect(() => {
     if (!isAnimating || committedPartition.length === 0) return;
@@ -90,7 +107,12 @@ const FerrersRogersRamanujan = () => {
     }
     const hookSize = boxesRight + boxesBelow + 1;
 
-    // Update RR partition
+    // Generate color for this hook (estimate total hooks as partition length)
+    const estimatedTotalHooks = Math.min(partition.length, partition[0] || 0);
+    const color = generateHookColor(animationStep, estimatedTotalHooks);
+    
+    // Update colors and RR partition
+    setHookColors(prev => [...prev, color]);
     setRRPartition(prev => [...prev, hookSize]);
 
     // Schedule next step
@@ -99,9 +121,9 @@ const FerrersRogersRamanujan = () => {
     }, 500);
 
     return () => clearTimeout(timeout);
-  }, [isAnimating, animationStep, committedPartition]);
+  }, [isAnimating, animationStep, committedPartition, baseHue]);
 
-  const renderFerrersDiagram = (partition: number[], highlightHook?: { row: number; col: number }) => {
+  const renderFerrersDiagram = (partition: number[], highlightHook?: { row: number; col: number }, isOriginal = true) => {
     if (partition.length === 0) return null;
 
     const boxSize = 30;
@@ -112,18 +134,71 @@ const FerrersRogersRamanujan = () => {
         {partition.map((count, rowIdx) => (
           <div key={rowIdx} className="flex gap-[2px] mb-[2px]">
             {Array.from({ length: count }).map((_, colIdx) => {
-              const isHook = highlightHook && 
-                ((rowIdx === highlightHook.row && colIdx >= highlightHook.col) ||
-                 (colIdx === highlightHook.col && rowIdx >= highlightHook.row));
+              let backgroundColor = 'bg-secondary';
+              let borderColor = 'border-border';
+              let extraClasses = 'hover:bg-secondary/80';
+              
+              if (isOriginal) {
+                // Original diagram: color completed hooks on diagonal
+                if (rowIdx === colIdx && rowIdx < hookColors.length) {
+                  const color = hookColors[rowIdx];
+                  backgroundColor = '';
+                  borderColor = '';
+                  extraClasses = `scale-105 shadow-md`;
+                  return (
+                    <div
+                      key={colIdx}
+                      className={`w-[30px] h-[30px] border-2 transition-all duration-300 ${extraClasses}`}
+                      style={{ 
+                        backgroundColor: color,
+                        borderColor: color
+                      }}
+                    />
+                  );
+                }
+                
+                // Highlight current hook being processed
+                const isHook = highlightHook && 
+                  ((rowIdx === highlightHook.row && colIdx >= highlightHook.col) ||
+                   (colIdx === highlightHook.col && rowIdx >= highlightHook.row));
+                
+                if (isHook) {
+                  backgroundColor = 'bg-primary';
+                  borderColor = 'border-primary';
+                  extraClasses = 'scale-110 shadow-lg';
+                }
+              }
               
               return (
                 <div
                   key={colIdx}
-                  className={`w-[30px] h-[30px] border-2 transition-all duration-300 ${
-                    isHook 
-                      ? 'bg-primary border-primary scale-110 shadow-lg' 
-                      : 'bg-secondary border-border hover:bg-secondary/80'
-                  }`}
+                  className={`w-[30px] h-[30px] border-2 transition-all duration-300 ${backgroundColor} ${borderColor} ${extraClasses}`}
+                />
+              );
+            })}
+          </div>
+        ))}
+      </div>
+    );
+  };
+
+  const renderRRDiagram = (partition: number[]) => {
+    if (partition.length === 0) return null;
+
+    return (
+      <div className="inline-block p-4 bg-card rounded-lg border">
+        {partition.map((count, rowIdx) => (
+          <div key={rowIdx} className="flex gap-[2px] mb-[2px]">
+            {Array.from({ length: count }).map((_, colIdx) => {
+              const color = hookColors[rowIdx] || 'hsl(var(--secondary))';
+              return (
+                <div
+                  key={colIdx}
+                  className="w-[30px] h-[30px] border-2 transition-all duration-300 scale-105 shadow-md"
+                  style={{ 
+                    backgroundColor: color,
+                    borderColor: color
+                  }}
                 />
               );
             })}
@@ -230,7 +305,7 @@ const FerrersRogersRamanujan = () => {
                 <p className="text-sm text-muted-foreground mb-4">
                   {rrPartition.join(" + ")} = {n} (parts differ by ≥ 2)
                 </p>
-                {renderFerrersDiagram(rrPartition)}
+                {renderRRDiagram(rrPartition)}
               </div>
             )}
           </div>