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Checklist VsOSh AI 2026 School Stage (Sirius platform, region group 3), grades 9–11 · Task 4

Word Meaning Vectors

Russian title: Задание 4

Assign meaning vectors to four words using dot-product similarity with six known word vectors.

  • NLP
  • Word embeddings (dot product)
  • Russian original · English translation
Download the English statement Read the official statement (Russian)

The task

Each word has a three-dimensional meaning vector, and the dot product S indicates similar (S > 0), opposite (S < 0) or unrelated (S = 0) meanings. Known vectors: camel (3, 4, 5), fish (−3, −4, 0), snowman (−4, 3, −5), tea (−7, 1, 5), glacier (3, 4, −5), pond (−7, 1, 0).

Determine the meaning vectors of the words iceberg, whale, mouse and teapot.

Abridged and translated by SOTA from the official Russian materials. The official statement has the exact rules, and it wins wherever this summary differs.

In English

This task was published in Russian. SOTA translated its 3 files into English on 16 September 2026.

Read the task statement in English 246 words

Word Meaning Vectors

English translation by SOTA – AI Community of the Russian original. Organisers who would like this translation removed can email [email protected].

Task 4 of the school stage of the All-Russian School Olympiad (VsOSh) 2025/26 in artificial intelligence (region group III), grades 9–11. The official answer and solution are in a separate file.

To compare the meanings of words, a computer assigns each word three numbers (x,y,z)(x, y, z) — a meaning vector. To measure how close two words are, one takes the number

S=x1x2+y1y2+z1z2,S = x_1 x_2 + y_1 y_2 + z_1 z_2,

that is, the corresponding coordinates are multiplied and added up. Then:

  • if S>0S > 0, the words are close in meaning;
  • if S<0S < 0, the meanings are opposite;
  • if S=0S = 0, there is no connection in meaning.

Six words with known meaning vectors are given:

Word Meaning vector
camel (3, 4, 5)(3,\ 4,\ 5)
fish (−3, −4, 0)(-3,\ -4,\ 0)
snowman (−4, 3, −5)(-4,\ 3,\ -5)
tea (−7, 1, 5)(-7,\ 1,\ 5)
glacier (3, 4, −5)(3,\ 4,\ -5)
pond (−7, 1, 0)(-7,\ 1,\ 0)

Determine the meaning vectors for the words iceberg, whale, mouse and kettle.

[Translator's note: the original file does not list the vectors to choose from. The official solution calls them A, B, C and D; as a set, they are (−4,3,0)(-4, 3, 0), (−4,3,5)(-4, 3, 5), (4,−3,0)(4, -3, 0) and (4,−3,−5)(4, -3, -5).]

Scoring criterion: 3 points for each correct answer. Total — 12 points

Maximum score for the task — 12

Translated by SOTA. The Russian original is the official version and wins wherever the two differ. Statement and official solution come from one PDF, the analysis of the school-stage tasks for region group III, grades 9–11, linked from the olympiad's Sirius page. The published file does not list the candidate vectors; a translator's note gives them as a set, taken from the official solution. If you organise this olympiad and would like the translation removed, email [email protected] and we will take it down.

At a glance

You get
Statement only.
You submit
Four vectors.
Scoring
Each correct vector 3 points (12 in total).
Format
School stage on the Sirius.Courses platform, region group 3, 20 October 2025; grades 9–11; individual; 150 minutes; maximum 112 points for the paper (tasks 1–6: 12 points each; tasks 7–8: 20 points each).

In English (SOTA)

Statement

Source files

Details

Year
2026, Schools in the regions of group 3 (Sirius.Courses online platform)
Round
School Stage (Sirius platform, region group 3), grades 9–11 · Task 4
Language
Russian; English translation by SOTA
License
Not stated by the source