math-tasks/tasks/collecting-asteroids/docs/collecting-asteroids-4.md

Collecting Asteroids 4

Title: Собери Астероиды Subtitle: Загрузи трюмы кораблей! Footer bubble: Итого загружено:

Notes

v4: numbers-only revision of v3. Asset positions, asteroid image types, cargo-bay / hero / footer images and all layout are identical to v3 — only the cargo capacities and the asteroid values (and their scale, which tracks value) were regenerated.

Design rules applied:

• Cargo capacities: min 20 (page 1), max 45 (page 9). The per-page window rises smoothly across pages; the spread of the 3 capacities on a page is 8–9; no two capacities on a page are equal or differ by 1.
• Every asteroid on a page is used exactly once: the page's asteroids partition into the 3 cargo groups (asteroid sum per page == cargo sum per page).
• Each cargo is filled by 3–5 asteroids. On the 12-asteroid pages the fill-counts are exactly {3,4,5}. On pages whose fixed asteroid count isn't 12 the counts are the in-range set that sums to N (see per-page below).
• Asteroid values track the cargo size: bigger cargos → bigger asteroid numbers, rising smoothly across pages (local ± variation where the fixed asteroid count forces more/fewer pieces per cargo, e.g. pages 6 and 9).
• Size = value: scale = base + 0.15 * value per slot, where base is the slot's intrinsic size preserved from v3 (0.30 for most, 0.70 for page-5 asteroid9, 1.10 for page-7 asteroid7). Big new values were rank-mapped onto the slots that already held big asteroids in v3, so nothing outgrows its spot.

Pages (cargo capacity = [asteroid group], fill-count)

• Page 1 — 20=9+5+6, 23=3+8+4+8, 28=3+7+5+7+6
• Page 2 — 22=6+5+11, 28=10+4+6+8, 30=5+5+4+9+7
• Page 3 — 23=10+9+4, 27=6+5+9+7, 32=5+8+8+8+3
• Page 4 — 25=7+10+8, 31=9+5+6+11, 34=5+9+8+8+4
• Page 5 — 28=10+11+7, 33=8+9+11+5, 37=6+10+11+10 — 11 asteroids, counts {3,4,4}
• Page 6 — 31=5+10+9+7, 35=7+8+9+4+7, 39=11+11+6+5+6 — 14 asteroids, counts {4,5,5}
• Page 7 — 33=11+12+10, 38=12+9+11+6, 41=7+10+9+8+7
• Page 8 — 34=9+12+13, 39=7+9+4+10+9, 43=11+11+10+6+5 — 13 asteroids, counts {3,5,5}
• Page 9 — 36=10+5+5+8+8, 41=10+12+7+6+6, 45=11+12+9+7+6 — 15 asteroids, counts {5,5,5}

Cargo numbers are placed on the 3 ship circles in shuffled order per page (not sorted top→bottom).