| Task ID | min_k | Domain | Metaphor |
|---|
| 1 | 1 | | A narcissistic painting reproduces itself wherever it sees its own reflection. |
| 6 | 2 | weather | A sheared storm cloud reassembles as wind aloft shifts to match the surface flow |
| 25 | 2 | | A stone skipping across a dark lake leaves ripples where it bounces, then sinks beneath the surface and continues its... |
| 27 | 2 | | A costume party where everyone swaps disguises according to the host's seating chart. |
| 35 | 1 | astronomy | Colored stars appear at various declinations in a dark sky survey. Each star's radiation ionizes a full horizontal em... |
| 45 | 2 | electronics | Components with insufficient connections to form a viable subcircuit short out and emit a green fault signal. Only cl... |
| 52 | 1 | | Three stars form a constellation; the night sky traces their triangle in azure light. |
| 58 | 2 | cooking | The filling spreads across whichever shelf of the oven rack holds the baking sheet |
| 69 | 1 | | Two teams combine their footprints to map everywhere anyone has stood. |
| 82 | 1 | | Two monarchs divide a kingdom, each stamping their seal upon their domain's walls. |
| 85 | 1 | electronics | A signal passes through a shift register array — each row of bits processes according to its distance from the clock ... |
| 96 | 2 | | A king in his castle banishes all imposters wearing his colors from the kingdom. |
| 100 | 1 | warfare | After a rout, soldiers from many regiments flee in all directions. One unit holds formation—a small squad maintaining... |
| 119 | 1 | | A drumline marches in formation, and every third beat strikes the snare — painting it red. |
| 128 | 1 | | Lighthouses signaling across the darkness |
| 132 | 3 | | A volcano erupts a beam of light through its crater in the direction it faces. |
| 136 | 1 | weather | Storm fronts that trade their color with the eastern neighbor and their fury with the western one, like pressure syst... |
| 141 | 2 | electronics | Component clusters of various types are soldered onto isolated rectangular pads across a dark circuit board. The engi... |
| 146 | 1 | | Four royal courts compete for territory, and the strongest claim wins each plot of land. |
| 151 | 1 | architecture | Three pillars in a colonnade extend their foundations downward and throw flying buttresses sideways to brace against ... |
| 161 | 3 | | A ghost haunts a lonely grave, conjuring an echo of the cathedral it once inhabited. |
| 173 | 1 | | Every creature casts a shadow at sunset, and the wallpaper repeats itself endlessly. |
| 178 | 1 | | Two dancers audition for the same spotlight — only a solo performer gets to shine. |
| 194 | 1 | astronomy | A golden meridian divides two star charts. Red nebulae glow only where one chart shows a star and the other shows void. |
| 199 | 3 | | A rubber stamp prints its design wherever ink drops have fallen on the page. |
| 207 | 1 | electronics | A technician examines a circuit board under magnification. Many small component footprints are soldered on, but the c... |
| 211 | 1 | | Seeds planted along a rooftop send roots zigzagging down through the soil. |
| 214 | 4 | | A jeweler counts the perfect emeralds among rough stones and lights candles down a dark staircase. |
| 218 | 2 | dance | The ensemble performs a do-si-do of color — inner dancers take the outer ring's sashes and the ring takes the center'... |
| 223 | 2 | electronics | Charged capacitors arrayed along a bus rail discharge and their energy pools into a wedge-shaped heat signature at th... |
| 229 | 1 | biology | A cell membrane encloses precious organelles while free-floating proteins drift in the cytoplasm around it. |
| 230 | 1 | | A dam swells with the pressure of raindrops falling on either side. |
| 236 | 3 | mythology | The Tower of Babel mid-collapse — divine wrath pins the foundation stones while each higher course of masonry is flun... |
| 244 | 2 | | Picture frames preserve the wood but reveal the wall behind them. |
| 246 | 2 | | A volcano fills its crater and erupts a plume of its unique lava color into the sky above. |
| 262 | 2 | architecture | Each colored building footprint has one azure cornerstone marking where the foundation should be laid. The mason fill... |
| 270 | 1 | biology | A green nucleus pulses at the heart of the cell, and a red organelle undergoes mitotic division — splitting into iden... |
| 277 | 1 | | Geological strata reveal the age of the earth when read in sequence |
| 278 | 4 | | A compass needle summons its companion — the red weathervane on the roof tells which direction the wind blows them to... |
| 290 | 1 | dance | Two choreographers each mark floor positions for their dancers — the final performance uses every marked spot from ei... |
| 292 | 2 | electronics | A signal propagates diagonally along a circuit trace, hits a grounded plane, and reflects back along a complementary ... |
| 302 | 1 | | Breathing squares exhale inward, and the smallest take their deepest breath back out. |
| 319 | 2 | biology | Cells in a petri dish compete for territory; the most abundant organism claims the outer membrane, while rarer specie... |
| 322 | 1 | cooking | An ingredient slides down the cutting board toward the knife's edge, and a garnish line marks where it came to rest. |
| 349 | 4 | astronomy | A pulsar emits bursts of light — a single flash, then a double, then a triple — each burst longer as it charges, peak... |
| 352 | 1 | | Three auditions behind curtains, but each actor only wins one role. |
| 363 | 3 | warfare | An army's vanguard and rearguard carry identical banners; between them, the marching column flies each regiment's fla... |
| 369 | 1 | | Yellow suns illuminate flowers in a field of weeds — the most common bloom wins the garden prize. |
| 387 | 1 | sports | Two teams in different jerseys scramble to cover the same small field. The stronger team claims most positions, but t... |
| 398 | 5 | biology | Three species of lichen colonize the same rock face. The magenta fungus is most aggressive and claims any territory i... |
| 400 | 2 | music | The concert hall walls vanish, and the reverb of each struck note carries the hall's resonance outward — but only res... |
| 408 | 3 | sports | During a chaotic scrimmage, four teammates wearing the same rare jersey color stand at the far sidelines and endlines... |
| 417 | 2 | biology | A three-legged cell senses the void in its membrane and extends a pseudopod through the gap, reaching across the petr... |
| 421 | 1 | | A vampire stands before a mirror that reveals not its reflection, but the negative space where it should be. |
| 422 | 2 | biology | A cell membrane crystallizes around the void of the cytoplasm, the phospholipid bilayer asserting its bright boundary... |
| 430 | 3 | biology | Certain enzymes along a chromosome express themselves differently depending on their type, sending protein chains of ... |
| 433 | 1 | mythology | Fallen souls descend one tier toward the River Styx; any soul that touches the river's edge is seized and split into ... |
| 436 | 1 | | A painting hung on a dark gallery wall faces a mirror. |
| 440 | 2 | | Saplings at the riverbank grow to full trees, but full-grown trees uproot and cast their shadows on the far shore. |
| 443 | 1 | dance | A yellow choreographer whose stance favors one side cues the azure dancer to perform the reversed step in that wing. |
| 445 | 2 | | Two shores share a common reflection in a golden lake. |
| 449 | 2 | geology | A red intrusion of magma cuts through the strata — below it, sediment compacts into solid rock, while above it erosio... |
| 454 | 3 | biology | A cell undergoes mitotic division, but each daughter inherits the mother's memory at a different angle of the spindle... |
| 460 | 2 | ocean/sailing | A sea chart divided by shipping lanes reveals four fishing grounds, each school of fish taking on the color of the ne... |
| 467 | 1 | electronics | A chip sits on the circuit board, and certain pins have fired—current races diagonally along trace lines toward the e... |
| 477 | 2 | | A butterfly unfolds its wings from a single scale pattern. |
| 496 | 3 | astronomy | A star chart where green and blue stars burn steadily. The dark void between them either glows red where cosmic radia... |
| 500 | 1 | mythology | Five gods sit on thrones in a celestial hall, each having answered a different number of mortal prayers across six ag... |
| 530 | 3 | | A photographic negative develops only in the darkroom's shadows. |
| 532 | 2 | astronomy | A constellation is catalogued from three observatories on a spinning planet: the prime observatory records it at midn... |
| 535 | 2 | astronomy | Against the void of space, several nebulae glow in tranquil blue, but within each cloud, red dwarf stars are igniting... |
| 536 | 3 | music | A chord rings out and listens to its own harmonics — each note that vibrates spawns an echo in the matching resonance... |
| 539 | 1 | music | A melody's notation hangs on the staff while stray notes have fallen off their lines. One note has drifted into the c... |
| 543 | 3 | biology | In a petri dish teeming with competing colonies, the species that outgrows all others leaves its signature protein fo... |
| 561 | 2 | electronics | Two circuit masks are layered during chip fabrication—one for the green oxide layer, one for the blue metal layer. On... |
| 602 | 2 | astronomy | A prism at the corner of a telescope splits starlight into spectral lines, and the telescope's focal length determine... |
| 611 | 3 | mythology | A divine mosaic depicts realms of the gods separated by rivers of a single sacred hue. Each realm glows with its deit... |
| 616 | 1 | | An archer shoots through a field, and the arrow punches a hole in the castle wall. |
| 626 | 1 | | Two rulers hold court along the edges, and where their domains overlap, their banners fill the hall. |
| 648 | 1 | astronomy | Stars in a galaxy are caught in a gravitational fold along the galactic plane. When a star's antimatter twin exists o... |
| 652 | 2 | dance | Blue dancers form tableaux on a dark floor. Some dancers have azure ribbons trailing from their costumes. A single ri... |
| 655 | 1 | architecture | A beam of azure light is cast through the longest diagonal sightline in a ruined cathedral. |
| 660 | 1 | mythology | A god plants a rune-stone in the void, and divine energy pulses outward in diamond-shaped auras — each aura ring mani... |
| 662 | 2 | | An archaeologist restores the largest damaged section of a mosaic floor. |
| 683 | 1 | | A spy encrypts messages using a codebook, and you must decode a new message using the same cipher. |
| 696 | 2 | astronomy | Stellar bodies escaping a gravity well by their combined luminosity |
| 705 | 1 | sports | Two rugby players charge down the same lane, each diving into a spread-eagle tackle just before they meet, arms flung... |
| 706 | 2 | mythology | A demigod touches a stone idol and their divine essence flows through every crack, transforming the whole statue — th... |
| 716 | 1 | | A cathedral's stained glass window has been vandalized with yellow paint, but the window's perfect reflections in a s... |
| 724 | 2 | biology | A colony of golden cells stretches across three tissue layers. The central artery pulses strongest, and at regular in... |
| 731 | 2 | ocean/sailing | Cargo loads into a hull only when every crate fits a hold and every hold gets a crate — mismatched manifest and the s... |
| 733 | 2 | warfare | Two flanking battalions close in from opposite edges of the battlefield — the general's map marks every square that e... |
| 741 | 1 | astronomy | Nested orbital shells exchange their spectral signatures in a retrograde cascade |
| 755 | 1 | | The majority party prints its banner wherever it holds a seat. |
| 759 | 1 | | Three neighboring kingdoms trade their national dyes across the borders. |
| 786 | 2 | dance | A dancer marks a small square of floor with their routine. The company then fills the ballroom — each dancer performi... |
| 790 | 1 | | A mirror lake reveals which stars have true reflections |
| 792 | 4 | biology | Two strands of DNA, one coding for cold pigment and one for warm, are spliced together across a membrane. Wherever ei... |
| 795 | 2 | | Trees sink their roots into underground water |
| 797 | 2 | | A seed crystal grows reflections in a hall of four mirrors. |
| 798 | 1 | biology | Three genes compete for expression in the same tissue, and dominance determines which phenotype shows. |
| 817 | 1 | astronomy | Stars along a three-band constellation chart — the terminal star's position in the sky determines which stars flare i... |
| 818 | 1 | astronomy | The green binary star burns at the center of the void. Planets orbiting in its ecliptic planes blaze tidal tails of t... |
| 819 | 3 | biology | Cells of a single species colonize the petri dish in unpredictable clusters, but every species folds into the same ge... |
| 856 | 3 | | A bookshelf sorts volumes by weight, with the lightest books placed on the highest shelf, reading right to left. |
| 863 | 1 | | Kingdoms compete to attract the most wandering fireflies. |
| 872 | 1 | biology | A single nerve impulse zigzagging through a column of tissue |
| 875 | 3 | | A wanted poster leads bounty hunters to fence in the fugitive. |
| 879 | 1 | | Two shields overlap, and light passes only through holes shared by both. |
| 880 | 1 | | A mirror stands in a hall, and scattered guests on both sides step through to reunite. |
| 893 | 1 | biology | Among the petri dishes, the colony with the most aggressive infection is isolated for study |
| 910 | 2 | | A dance troupe passes choreography down the line at each rehearsal, and the final performance reveals the next routine. |
| 915 | 3 | | A doctor diagnoses dark wounds on grey skin — their color reveals how badly the infection has spread. |
| 916 | 1 | biology | A petri dish holds grey colonies separated by sterile void. The lab notebook records one tally mark for each colony, ... |
| 921 | 5 | mythology | Four elemental gods each rule a quarter of a realm divided by golden divine boundaries. When the boundaries shatter, ... |
| 931 | 5 | electronics | Four signal buses share a common output line, but higher-priority signals always override lower ones. |
| 939 | 2 | biology | A enzyme reads the folding pattern of a receptor protein and activates a pigment gene, dyeing a nearby cell cluster i... |
| 941 | 3 | ocean/sailing | Three pennants fly from a harbor mast above the waterline. Each pennant claims a fleet color. Ships flying unclaimed ... |
| 960 | 1 | | Scattered travelers heed gravity's call and fall into their designated silos, pooling at the bottom. |
| 965 | 2 | ocean/sailing | Colored buoys float at scattered positions in a dark sea. Wherever a buoy is anchored, the entire shipping lane benea... |
| 971 | 1 | astronomy | An astronomer filtering out the background stars to catalog the unusual objects in a star field |
| 975 | 1 | | Lost siblings calling out across the wilderness, finding paths home to each other while respecting the ancient walls. |
| 977 | 1 | biology | A geneticist reconstructs a corrupted segment of DNA by recognizing the codon repeat cycle that governs the rest of t... |
| 982 | 1 | cooking | A chef plates the same dish twice on a diagonal, and between every pair of garnishes, a stripe of pesto is drizzled a... |
| 983 | 1 | biology | Two enzyme markers bind to the membrane wall, triggering mitosis in reverse — the cell cleaves along the marked axis,... |
| 988 | 3 | | Each building casts a green shadow whose length reveals how many departments work inside. |