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FA-92851 / EV charging session scheduling / Open access

Time-of-use cheapest slot plan: slot energy from power · case 01

A 7.4 kW charger is scheduled to deliver 7.4 kWh inside a quarter hour.

Verified by executionVariant 1 · 7 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The per-slot energy limit uses the hourly power rating without converting to a 15-minute slot.

VERIFIED REPAIR

Limit each 15-minute slot to max_w // 4 Wh.

Unsuccessful approach: Dividing by 60 treats the slot as one minute and underfills every slot.

Case contract

prices[i] is the tariff in cents/kWh of 15-minute slot i. The car is present for slots arrive..depart-1 (depart exclusive) clipped to the tariff horizon; arrive may be negative. Each slot delivers at most max_w//4 Wh. Fill the cheapest slots first (equal price: earlier slot first), the last slot partially. Return [[slot, wh] sorted by slot, cost in millicents (sum wh*price), unmet wh]. need_wh<=0 or max_w<=0 returns [[], 0, max(need_wh,0)].

Why this case matters

Depot, workplace and public EV chargers schedule sessions against prices, circuit limits and departure deadlines; a wrong decision silently strands a driver or overloads a feeder.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(prices, arrive, depart, need_wh, max_w):
    if need_wh <= 0 or max_w <= 0:
        return [[], 0, max(need_wh, 0)]
    slot_wh = max_w
    lo = max(arrive, 0)
    hi = min(depart, len(prices))
    window = list(range(lo, hi))
    ranked = sorted(window, key=lambda s: (prices[s], s))
    plan = []
    left = need_wh
    for s in ranked:
        if left <= 0:
            break
        take = min(slot_wh, left)
        plan.append([s, take])
        left -= take
    plan.sort()
    cost = sum(wh * prices[s] for s, wh in plan)
    return [plan, cost, left]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[12, 10, 8, 25, 30, 10, 20, 10, 8, 10, 10, 25, 25], 3, 16, 1500, 3700],
   [[[5, 575], [8, 925]], 13150, 0]],
  ['regression: slot energy from power (partial repair)', [[30, 8, 15, 8, 20], -3, 4, 4000, 11000],
   [[[1, 2750], [3, 1250]], 32000, 0]],
  ['control 1', [[25, 30, 20, 12, 12], 2, 2, 20000, 11000], [[], 0, 20000]],
  ['control 2', [[8, 15, 12, 10, 8, 25, 12, 8, 8, 20, 20, 25, 12, 8], -3, 15, 7000, 3700],
   [[[0, 925], [2, 925], [3, 925], [4, 925], [6, 525], [7, 925], [8, 925], [13, 925]], 63650, 0]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[30, 12, 30, 8, 15, 25, 8, 15, 15, 12, 8], 8, 9, 7000, 3700], [[[8, 925]], 13875, 6075]],
  ['regression: slot energy from power (partial repair)',
   [[25, 30, 25, 25, 30, 15, 15, 8, 8, 12, 20, 30, 12, 30], 12, 16, 9000, 3700],
   [[[12, 925], [13, 925]], 38850, 7150]],
  ['control 1', [[30, 12, 20, 30, 25, 30, 12, 30, 20, 10, 20, 8, 15], 7, 12, 4000, 11000],
   [[[9, 1250], [11, 2750]], 34500, 0]],
  ['control 2', [[12, 12, 25, 30, 8, 20, 12, 12], 3, 11, 9000, 3700],
   [[[3, 925], [4, 925], [5, 925], [6, 925], [7, 925]], 75850, 4375]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[10, 25, 25, 30, 8, 12, 25, 8, 25, 25], 3, 13, 9000, 3700],
   [[[3, 925], [4, 925], [5, 925], [6, 925], [7, 925], [8, 925], [9, 925]], 123025, 2525]],
  ['regression: slot energy from power (partial repair)',
   [[15, 25, 10, 15, 8, 10, 12, 25, 15, 10, 10, 15, 10, 8], 4, 8, 4000, 11000],
   [[[4, 2750], [5, 1250]], 34500, 0]],
  ['control 1', [[12, 10, 15, 25, 30], 4, 4, 12500, 7400], [[], 0, 12500]],
  ['control 2', [[30, 12, 15, 12, 30, 15, 12, 20, 20], -2, 1, 9000, 0], [[], 0, 9000]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power', [[10, 30, 12, 30, 30, 10], -1, 1, 12500, 11000],
   [[[0, 2750]], 27500, 9750]],
  ['regression: slot energy from power (partial repair)',
   [[20, 15, 25, 30, 8, 15, 10, 15, 20, 25, 25], -2, 9, 1500, 7400], [[[4, 1500]], 12000, 0]],
  ['control 1', [[12, 20, 8, 15, 10, 8, 25, 12, 30, 12], 2, 12, 20000, 11000],
   [[[2, 2750], [3, 2750], [4, 2750], [5, 2750], [6, 2750], [7, 2750], [8, 750], [9, 2750]], 270000,
    0]],
  ['control 2', [[30, 30, 20, 12, 12, 15, 12, 10], -1, 8, 7000, 7400],
   [[[3, 1850], [4, 1850], [6, 1450], [7, 1850]], 80300, 0]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[8, 25, 15, 12, 12, 12, 20, 25, 10, 12, 20, 20], 10, 14, 9000, 11000],
   [[[10, 2750], [11, 2750]], 110000, 3500]],
  ['regression: slot energy from power (partial repair)',
   [[12, 20, 12, 12, 12, 12, 20, 15, 10, 12], 0, 11, 4000, 7400],
   [[[0, 1850], [2, 300], [8, 1850]], 44300, 0]],
  ['control 1', [[12, 12, 8, 15, 10, 12, 20, 15, 12, 10, 12, 12, 15, 15], 12, 13, 1500, 3700],
   [[[12, 925]], 13875, 575]],
  ['control 2', [[10, 12, 10, 8, 10, 12, 12], 2, 5, 4000, 11000],
   [[[2, 1250], [3, 2750]], 34500, 0]]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
boundary: nothing needed[[], 0, 0][[], 0, 0]Passed
boundary: empty window[[], 0, 5000][[], 0, 5000]Passed
boundary: departure beyond tariff horizon[[[1, 5000]], 50000, 0][[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]Failed
regression: slot energy from power[[[8, 1500]], 12000, 0][[[5, 575], [8, 925]], 13150, 0]Failed
regression: slot energy from power (partial repair)[[[1, 4000]], 32000, 0][[[1, 2750], [3, 1250]], 32000, 0]Failed
control 1[[], 0, 20000][[], 0, 20000]Passed
control 2[[[0, 3700], [4, 3300]], 56000, 0][[[0, 925], [2, 925], [3, 925], [4, 925], [6, 525], [7, 925], [8, 925], [13, 925]], 63650, 0]Failed

SHA-256 / aed098d5e71df82b8b348ec8a3a90e46c7fbf6232cd45c3094c30b826ad86980

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(prices, arrive, depart, need_wh, max_w):
    if need_wh <= 0 or max_w <= 0:
        return [[], 0, max(need_wh, 0)]
    slot_wh = max_w // 60
    lo = max(arrive, 0)
    hi = min(depart, len(prices))
    window = list(range(lo, hi))
    ranked = sorted(window, key=lambda s: (prices[s], s))
    plan = []
    left = need_wh
    for s in ranked:
        if left <= 0:
            break
        take = min(slot_wh, left)
        plan.append([s, take])
        left -= take
    plan.sort()
    cost = sum(wh * prices[s] for s, wh in plan)
    return [plan, cost, left]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[12, 10, 8, 25, 30, 10, 20, 10, 8, 10, 10, 25, 25], 3, 16, 1500, 3700],
   [[[5, 575], [8, 925]], 13150, 0]],
  ['regression: slot energy from power (partial repair)', [[30, 8, 15, 8, 20], -3, 4, 4000, 11000],
   [[[1, 2750], [3, 1250]], 32000, 0]],
  ['control 1', [[25, 30, 20, 12, 12], 2, 2, 20000, 11000], [[], 0, 20000]],
  ['control 2', [[8, 15, 12, 10, 8, 25, 12, 8, 8, 20, 20, 25, 12, 8], -3, 15, 7000, 3700],
   [[[0, 925], [2, 925], [3, 925], [4, 925], [6, 525], [7, 925], [8, 925], [13, 925]], 63650, 0]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[30, 12, 30, 8, 15, 25, 8, 15, 15, 12, 8], 8, 9, 7000, 3700], [[[8, 925]], 13875, 6075]],
  ['regression: slot energy from power (partial repair)',
   [[25, 30, 25, 25, 30, 15, 15, 8, 8, 12, 20, 30, 12, 30], 12, 16, 9000, 3700],
   [[[12, 925], [13, 925]], 38850, 7150]],
  ['control 1', [[30, 12, 20, 30, 25, 30, 12, 30, 20, 10, 20, 8, 15], 7, 12, 4000, 11000],
   [[[9, 1250], [11, 2750]], 34500, 0]],
  ['control 2', [[12, 12, 25, 30, 8, 20, 12, 12], 3, 11, 9000, 3700],
   [[[3, 925], [4, 925], [5, 925], [6, 925], [7, 925]], 75850, 4375]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[10, 25, 25, 30, 8, 12, 25, 8, 25, 25], 3, 13, 9000, 3700],
   [[[3, 925], [4, 925], [5, 925], [6, 925], [7, 925], [8, 925], [9, 925]], 123025, 2525]],
  ['regression: slot energy from power (partial repair)',
   [[15, 25, 10, 15, 8, 10, 12, 25, 15, 10, 10, 15, 10, 8], 4, 8, 4000, 11000],
   [[[4, 2750], [5, 1250]], 34500, 0]],
  ['control 1', [[12, 10, 15, 25, 30], 4, 4, 12500, 7400], [[], 0, 12500]],
  ['control 2', [[30, 12, 15, 12, 30, 15, 12, 20, 20], -2, 1, 9000, 0], [[], 0, 9000]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power', [[10, 30, 12, 30, 30, 10], -1, 1, 12500, 11000],
   [[[0, 2750]], 27500, 9750]],
  ['regression: slot energy from power (partial repair)',
   [[20, 15, 25, 30, 8, 15, 10, 15, 20, 25, 25], -2, 9, 1500, 7400], [[[4, 1500]], 12000, 0]],
  ['control 1', [[12, 20, 8, 15, 10, 8, 25, 12, 30, 12], 2, 12, 20000, 11000],
   [[[2, 2750], [3, 2750], [4, 2750], [5, 2750], [6, 2750], [7, 2750], [8, 750], [9, 2750]], 270000,
    0]],
  ['control 2', [[30, 30, 20, 12, 12, 15, 12, 10], -1, 8, 7000, 7400],
   [[[3, 1850], [4, 1850], [6, 1450], [7, 1850]], 80300, 0]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[8, 25, 15, 12, 12, 12, 20, 25, 10, 12, 20, 20], 10, 14, 9000, 11000],
   [[[10, 2750], [11, 2750]], 110000, 3500]],
  ['regression: slot energy from power (partial repair)',
   [[12, 20, 12, 12, 12, 12, 20, 15, 10, 12], 0, 11, 4000, 7400],
   [[[0, 1850], [2, 300], [8, 1850]], 44300, 0]],
  ['control 1', [[12, 12, 8, 15, 10, 12, 20, 15, 12, 10, 12, 12, 15, 15], 12, 13, 1500, 3700],
   [[[12, 925]], 13875, 575]],
  ['control 2', [[10, 12, 10, 8, 10, 12, 12], 2, 5, 4000, 11000],
   [[[2, 1250], [3, 2750]], 34500, 0]]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
boundary: nothing needed[[], 0, 0][[], 0, 0]Passed
boundary: empty window[[], 0, 5000][[], 0, 5000]Passed
boundary: departure beyond tariff horizon[[[1, 123], [2, 123], [3, 123]], 4920, 4631][[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]Failed
regression: slot energy from power[[[3, 61], [4, 61], [5, 61], [6, 61], [7, 61], [8, 61], [9, 61], [10, 61], [11, 61], [12, 61]], 10553, 890][[[5, 575], [8, 925]], 13150, 0]Failed
regression: slot energy from power (partial repair)[[[0, 183], [1, 183], [2, 183], [3, 183]], 11163, 3268][[[1, 2750], [3, 1250]], 32000, 0]Failed
control 1[[], 0, 20000][[], 0, 20000]Passed
control 2[[[0, 61], [1, 61], [2, 61], [3, 61], [4, 61], [5, 61], [6, 61], [7, 61], [8, 61], [9, 61], [10, 61], [11, 61], [12, 61], [13, 61]], 11651, 6146][[[0, 925], [2, 925], [3, 925], [4, 925], [6, 525], [7, 925], [8, 925], [13, 925]], 63650, 0]Failed

SHA-256 / 88f3aa991dc9a3cd7e380b953a9a6b6e84f46626aae6a977827d1496e2729729

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(prices, arrive, depart, need_wh, max_w):
    if need_wh <= 0 or max_w <= 0:
        return [[], 0, max(need_wh, 0)]
    slot_wh = max_w // 4
    lo = max(arrive, 0)
    hi = min(depart, len(prices))
    window = list(range(lo, hi))
    ranked = sorted(window, key=lambda s: (prices[s], s))
    plan = []
    left = need_wh
    for s in ranked:
        if left <= 0:
            break
        take = min(slot_wh, left)
        plan.append([s, take])
        left -= take
    plan.sort()
    cost = sum(wh * prices[s] for s, wh in plan)
    return [plan, cost, left]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[12, 10, 8, 25, 30, 10, 20, 10, 8, 10, 10, 25, 25], 3, 16, 1500, 3700],
   [[[5, 575], [8, 925]], 13150, 0]],
  ['regression: slot energy from power (partial repair)', [[30, 8, 15, 8, 20], -3, 4, 4000, 11000],
   [[[1, 2750], [3, 1250]], 32000, 0]],
  ['control 1', [[25, 30, 20, 12, 12], 2, 2, 20000, 11000], [[], 0, 20000]],
  ['control 2', [[8, 15, 12, 10, 8, 25, 12, 8, 8, 20, 20, 25, 12, 8], -3, 15, 7000, 3700],
   [[[0, 925], [2, 925], [3, 925], [4, 925], [6, 525], [7, 925], [8, 925], [13, 925]], 63650, 0]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[30, 12, 30, 8, 15, 25, 8, 15, 15, 12, 8], 8, 9, 7000, 3700], [[[8, 925]], 13875, 6075]],
  ['regression: slot energy from power (partial repair)',
   [[25, 30, 25, 25, 30, 15, 15, 8, 8, 12, 20, 30, 12, 30], 12, 16, 9000, 3700],
   [[[12, 925], [13, 925]], 38850, 7150]],
  ['control 1', [[30, 12, 20, 30, 25, 30, 12, 30, 20, 10, 20, 8, 15], 7, 12, 4000, 11000],
   [[[9, 1250], [11, 2750]], 34500, 0]],
  ['control 2', [[12, 12, 25, 30, 8, 20, 12, 12], 3, 11, 9000, 3700],
   [[[3, 925], [4, 925], [5, 925], [6, 925], [7, 925]], 75850, 4375]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[10, 25, 25, 30, 8, 12, 25, 8, 25, 25], 3, 13, 9000, 3700],
   [[[3, 925], [4, 925], [5, 925], [6, 925], [7, 925], [8, 925], [9, 925]], 123025, 2525]],
  ['regression: slot energy from power (partial repair)',
   [[15, 25, 10, 15, 8, 10, 12, 25, 15, 10, 10, 15, 10, 8], 4, 8, 4000, 11000],
   [[[4, 2750], [5, 1250]], 34500, 0]],
  ['control 1', [[12, 10, 15, 25, 30], 4, 4, 12500, 7400], [[], 0, 12500]],
  ['control 2', [[30, 12, 15, 12, 30, 15, 12, 20, 20], -2, 1, 9000, 0], [[], 0, 9000]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power', [[10, 30, 12, 30, 30, 10], -1, 1, 12500, 11000],
   [[[0, 2750]], 27500, 9750]],
  ['regression: slot energy from power (partial repair)',
   [[20, 15, 25, 30, 8, 15, 10, 15, 20, 25, 25], -2, 9, 1500, 7400], [[[4, 1500]], 12000, 0]],
  ['control 1', [[12, 20, 8, 15, 10, 8, 25, 12, 30, 12], 2, 12, 20000, 11000],
   [[[2, 2750], [3, 2750], [4, 2750], [5, 2750], [6, 2750], [7, 2750], [8, 750], [9, 2750]], 270000,
    0]],
  ['control 2', [[30, 30, 20, 12, 12, 15, 12, 10], -1, 8, 7000, 7400],
   [[[3, 1850], [4, 1850], [6, 1450], [7, 1850]], 80300, 0]]],
 [['boundary: nothing needed', [[10, 20, 30], 0, 3, 0, 7400], [[], 0, 0]],
  ['boundary: empty window', [[10, 20, 30], 2, 2, 5000, 7400], [[], 0, 5000]],
  ['boundary: departure beyond tariff horizon', [[30, 10, 10, 20], 1, 9, 5000, 7400],
   [[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]],
  ['regression: slot energy from power',
   [[8, 25, 15, 12, 12, 12, 20, 25, 10, 12, 20, 20], 10, 14, 9000, 11000],
   [[[10, 2750], [11, 2750]], 110000, 3500]],
  ['regression: slot energy from power (partial repair)',
   [[12, 20, 12, 12, 12, 12, 20, 15, 10, 12], 0, 11, 4000, 7400],
   [[[0, 1850], [2, 300], [8, 1850]], 44300, 0]],
  ['control 1', [[12, 12, 8, 15, 10, 12, 20, 15, 12, 10, 12, 12, 15, 15], 12, 13, 1500, 3700],
   [[[12, 925]], 13875, 575]],
  ['control 2', [[10, 12, 10, 8, 10, 12, 12], 2, 5, 4000, 11000],
   [[[2, 1250], [3, 2750]], 34500, 0]]]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
boundary: nothing needed[[], 0, 0][[], 0, 0]Passed
boundary: empty window[[], 0, 5000][[], 0, 5000]Passed
boundary: departure beyond tariff horizon[[[1, 1850], [2, 1850], [3, 1300]], 63000, 0][[[1, 1850], [2, 1850], [3, 1300]], 63000, 0]Passed
regression: slot energy from power[[[5, 575], [8, 925]], 13150, 0][[[5, 575], [8, 925]], 13150, 0]Passed
regression: slot energy from power (partial repair)[[[1, 2750], [3, 1250]], 32000, 0][[[1, 2750], [3, 1250]], 32000, 0]Passed
control 1[[], 0, 20000][[], 0, 20000]Passed
control 2[[[0, 925], [2, 925], [3, 925], [4, 925], [6, 525], [7, 925], [8, 925], [13, 925]], 63650, 0][[[0, 925], [2, 925], [3, 925], [4, 925], [6, 525], [7, 925], [8, 925], [13, 925]], 63650, 0]Passed

SHA-256 / 45ac50dbb3225f677d0533987a0debf84c86233a8fc8d235d293cb9cd2b3405c

Verification & scope

Deterministic stipulated toy contract for teaching; no claim of conformance with any standard, vendor protocol or production controller. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.

Observations recorded using Python 3.12.14 at 2026-09-29T14:51:49.751350+00:00.

Case digest / 1ff9c05eb9cdd96913d60a3ec9e07b90f64ca9aca1262b71aad39ad888813328