diff --git a/src/lib/utils/collections.ts b/src/lib/utils/collections.ts
new file mode 100644
index 0000000..0d684eb
--- /dev/null
+++ b/src/lib/utils/collections.ts
@@ -0,0 +1,9 @@
+function mapGetOrInit<K, V>(map: Map<K, V>, key: K, defaultItem: V) {
+    const item = map.get(key);
+    if (item !== undefined) {
+        return item;
+    } else {
+        map.set(key, defaultItem);
+        return defaultItem;
+    }
+}
diff --git a/src/lib/utils/fillSpace.ts b/src/lib/utils/fillSpace.ts
index bf0be42..b38ddc7 100644
--- a/src/lib/utils/fillSpace.ts
+++ b/src/lib/utils/fillSpace.ts
@@ -4,55 +4,58 @@ function fillSpace(availableSpace: number, items: { min: number, max: number }[]
 }
 
 function findMeanSpaceFiller(availableSpace: number, items: { min: number, max: number }[]) {
-    let mean = Math.floor(availableSpace / items.length);
-    for (let i = 0; true; i++) {
-        let requiredSpace = 0;
-        let low = -Infinity;
-        let high = Infinity;
-        for (const item of items) {
-            const size = clamp(mean, item.min, item.max);
-            requiredSpace += size;
-            if (mean > item.min) {
-                if (size > low) {
-                    low = size;
-                }
-            }
-            if (mean < item.max) {
-                if (size < high) {
-                    high = size;
-                }
-            }
+    const ranges = buildRanges(items);
+    let requiredSpace = items.reduce((acc, item) => acc + item.min, 0);
+    for (let i = 0; i < ranges.length; i++) {
+        const range = ranges[i];
+        const rangeSize = range.end - range.start;
+        const maxRequiredSpaceDelta = rangeSize * range.n;
+        if (requiredSpace + maxRequiredSpaceDelta >= availableSpace || i === ranges.length-1) {
+            const positionInRange = (availableSpace - requiredSpace) / maxRequiredSpaceDelta;
+            return Math.floor(range.start + rangeSize * positionInRange);
         }
+        requiredSpace += maxRequiredSpaceDelta;
+    }
+    return 0;
 
-        const oldMean = mean;
-        const error = requiredSpace - availableSpace;
-        if (error > 0) {
-            // need to decrease mean
-            let decreasable = 0;
-            for (const item of items) {
-                if (mean > item.min && low - error < item.max) {
-                    decreasable++;
-                }
-            }
-            if (decreasable > 0) {
-                mean = Math.floor(low - error / decreasable);
-            }
-        } else if (error < 0) {
-            // need to increase mean
-            let increasable = 0;
-            for (const item of items) {
-                if (mean < item.max && high - error > item.min) {
-                    increasable++;
-                }
-            }
-            if (increasable > 0) {
-                mean = Math.floor(high - error / increasable);
-            }
+    function buildRanges(items: { min: number, max: number }[]) {
+        const landmarks = buildLandmarks(items);
+        const ranges: Range[] = [];
+        let n = 0;
+        for (let i = 1; i < landmarks.length; i++) {
+            const startLandmark = landmarks[i-1];
+            const endLandmark = landmarks[i];
+            n = n - startLandmark.nMax + startLandmark.nMin;
+            ranges.push({
+                start: startLandmark.value,
+                end: endLandmark.value,
+                n: n,
+            });
         }
+        return ranges;
 
-        if (mean === oldMean) {
-            log(`findMeanSpaceFiller ${i} / ${items.length}`);
-            return mean;
+        type Range = {
+            start: number,
+            end: number,
+            n: number,
+        };
+
+        function buildLandmarks(items: { min: number, max: number }[]) {
+            const landmarks = new Map<number, Landmark>();
+            for (const item of items) {
+                mapGetOrInit(landmarks, item.min, { value: item.min, nMin: 0, nMax: 0 }).nMin++;
+                mapGetOrInit(landmarks, item.max, { value: item.max, nMin: 0, nMax: 0 }).nMax++;
+            }
+
+            const array = Array.from(landmarks.values());
+            array.sort((a, b) => a.value - b.value);
+            return array;
+
+            type Landmark = {
+                value: number,
+                nMin: number,
+                nMax: number,
+            }
         }
     }
 }