At an elite academy for gifted students, seven mathematical prodigies are attending a private interdisciplinary program
Each girl has a unique:
Name
Age (9, 10, 11, 12, 13, 14, 15)
Musical instrument
Favorite mathematical field
Favorite color
Country of origin
No two girls share any attribute within a category.
Your task is to determine the complete profile of each prodigy.
Names:
-Ariadna
-Beatriz
-Clara
-Dafne
-Elena
-Fátima
-Gabriela
Instruments:
-Piano
-Violin
-Cello
-Harp
-Oboe
-Flute
-Harpsichord
Mathematical Fields:
-Number Theory
-Algebraic Geometry
-Topology
-Combinatorics
-Mathematical Logic
-Analysis
-Graph Theory
Favorite Colors:
-Red
-Blue
-Green
-Black
-White
-Purple
-Gold
Countries:
-Japan
-Germany
-Brazil
-Hungary
-India
-France
-Canada

Clues:
-The 15yo plays neither a string instrument nor a wind instrument.
-The student who specializes in Graph Theory is older than the girl from Japan.
-Ariadna is the youngest student (9yo) and she dislikes red.
-The Hungarian student is exactly two years older than the harpist.
-The Topology enthusiast plays a wind instrument.
-Gabriela is younger than the German student but older than the Canadian.
-The 14yo studies Analysis.
-The harpsichord player’s favorite color is metallic (Gold).
-Clara is not from Europe.
-The Brazilian is older than the girl who prefers blue.
-The Mathematical Logic specialist plays a string instrument.
-The 12yo name falls alphabetically between the 11-year-old’s and the 13-year-old’s.
-The piano is played by neither the youngest nor the oldest student.
-The Indian student studies Algebraic Geometry.
-Fátima is the oldest student (15yo) and is not Asian.
-Beatriz does not play a string instrument.
-The girl who prefers green is one year younger than the French student.
-The violinist is exactly one year older than the Combinatorics specialist.
-Dafne is not 10 or 11yo.
-The Japanese student’s favorite color is a primary color (Red, Blue, or Green).
-Elena is two years older than the flute player.
-The oboist studies neither Analysis nor Number Theory.
-The Canadian is younger than the girl who prefers black.
-The Number Theory specialist is younger than the cellist.
-The 13yo plays a string instrument.
-Gold is not the favorite color of anyone younger than 12.
-Exactly one girl simultaneously satisfies all three conditions: plays a wind instrument, is from a European country, and has a prime number age.

Determine the complete identity of each prodigy (name,field,color,country,age and instrument)
Good luck :)