// GAME 001 — level 01

READY= PLAYER 4

Insert Coin 
LAT 00.000 / LON 00.000 / NODE.00
Slot 01 / Live #A-001
import tele
from stream import *
def telemetry():
 yield 0
 stream.open()
# telemetry data
buffer = []
while True:
 read()
 analyze()
status = OK
metrics = get()
push(metrics)
0x11
0xA2
Token Telemetry

Welford flow

token telemetry & adaptive cost projection

v1.0
€20.00
def kk(nums):
 h=[-x for x in nums]
 heapify(h)
 while len(h)>1:
  a=-heappop(h)
  b=-heappop(h)
  heappush(h,-(a-b))
 return -h[0]
# karmarkar-karp
# differencing
# NP-hard
partition()
solve()
balance≈0
3 1 4 1 5 9
2 6 5 3 5 8
9 7 9 3 2 3
diff = a - b
heap.push
balance ≈ 0
∑S₁ − ∑S₂
min |Δ|
greedy.k=2
∑S₁ − ∑S₂
min |Δ|
O(n log n)
greedy.k=2
partition()
solve()
heap.pop
push.diff
n→n-1
while |H|>1:
 a,b=pop2(H)
 push(H,a−b)
return H[0]
diff.tree
recombine
O(n log n)
0xKK
0x4A
0x9F
0x12
0xAE
0x77
0x3B
0xC4
0x81
0x05
Slot 02 / Locked #KK-π
4dchat
Karmarkar–Karp
LOCAL SYNTAX

partitioning

cls.NP
coming.soon
def rk(t,p):
 n,m=len(t),len(p)
 hp=hash(p)
 ht=hash(t[:m])
 for i in range(n-m+1):
  if ht==hp:
   if t[i:i+m]==p:
    yield i
  ht=roll(ht,t,i,m)
# rolling hash
# fingerprint
hash(p) ≡ hash(t[i..i+m])
rolling.window
mod q · base b
collision? verify.
shift >> 1
re-hash
O(n+m) avg
O(nm) worst
a c a a b c
pattern = abc
match @ i=3
hash=0x7F1A
shift >> 1
re-hash
fingerprint
match.found
yield i
0xR4
0xB1
0x9E
0xC0
0x2D
0xFA
0x66
0x18
0xD3
0x07
substring search
fingerprint = h
plagiarism det.
O(n+m) avg
O(nm)   worst
window.slide
hash.update
verify==
bon courage
Slot 03 / Locked #RK-Σ