显示生时校正里还活着的时间段，不再把空档涂进目前范围。

交付卡、旁白和遥测在有簇区间时按段书写。打分、出题和进区间门槛未改；对半出题和门槛 6 因为没有真值保留回放而没有交付。

Co-Authored-By: Grok (agent loop)

scripts/rectification/living_display_intervals.py

@@ -0,0 +1,79 @@
+"""Display-only merge of living candidate intervals.
+
+Decision width stays on ``interval_union_width`` / ``unionWindowIntervals``.
+This module is not part of the sealed scoring identity: scoring must not import it.
+"""
+from __future__ import annotations
+
+from datetime import datetime
+from typing import Any
+
+LIVING_DISPLAY_MERGE_GAP_MINUTES = 4
+LIVING_DISPLAY_MAX_SEGMENTS = 3
+
+
+def _stamp(value: str) -> datetime:
+    return datetime.fromisoformat(value)
+
+
+def merge_living_display_intervals(
+    intervals: list[dict[str, Any]],
+    gap_minutes: int = LIVING_DISPLAY_MERGE_GAP_MINUTES,
+) -> list[dict[str, str]]:
+    """Merge intervals whose gap is <= gap_minutes. Gap is the open minutes between them."""
+    rows = []
+    for row in intervals:
+        start, end = str(row.get("start_at") or ""), str(row.get("end_at") or "")
+        if len(start) < 16 or len(end) < 16 or start > end:
+            continue
+        try:
+            _stamp(start)
+            _stamp(end)
+        except ValueError:
+            continue
+        rows.append({"start_at": start[:16], "end_at": end[:16]})
+    rows.sort(key=lambda item: (item["start_at"], item["end_at"]))
+    merged: list[dict[str, str]] = []
+    for row in rows:
+        if not merged:
+            merged.append(row)
+            continue
+        previous = merged[-1]
+        gap = int((_stamp(row["start_at"]) - _stamp(previous["end_at"])).total_seconds() // 60) - 1
+        if gap <= gap_minutes:
+            if row["end_at"] > previous["end_at"]:
+                previous["end_at"] = row["end_at"]
+        else:
+            merged.append(row)
+    return merged
+
+
+def inclusive_interval_minutes(intervals: list[dict[str, str]]) -> int:
+    total = 0
+    for row in intervals:
+        width = int((_stamp(row["end_at"]) - _stamp(row["start_at"])).total_seconds() // 60) + 1
+        if width > 0:
+            total += width
+    return total
+
+
+def living_display_label(
+    intervals: list[dict[str, str]],
+    birth_date: str | None = None,
+    max_segments: int = LIVING_DISPLAY_MAX_SEGMENTS,
+) -> str:
+    def label(value: str) -> str:
+        date, clock = value[:10], value[11:16]
+        if not birth_date:
+            return f"{date} {clock}"
+        if date == birth_date:
+            return clock
+        return f"{'前一天' if date < birth_date else '后一天'} {clock}"
+
+    def text(row: dict[str, str]) -> str:
+        return f"{label(row['start_at'])}–{label(row['end_at'])}"
+
+    if len(intervals) <= max_segments:
+        return "、".join(text(row) for row in intervals)
+    shown = "、".join(text(row) for row in intervals[:max_segments])
+    return f"{shown}，等 {len(intervals)} 段，共约 {inclusive_interval_minutes(intervals)} 分钟"