minif2f-v1 / aime-1997-p11

aime-1997-p11

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal aime-1997-p11

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/aime-1997-p11.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem aime_1997_p11 (x : ℝ)
    (h₀ :
      x =
        (∑ n ∈ Finset.Icc (1 : ℕ) 44, Real.cos (n * π / 180)) /
          ∑ n ∈ Finset.Icc (1 : ℕ) 44, Real.sin (n * π / 180)) :
    Int.floor (100 * x) = 241 := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.