测试与复现 / Tests and Reproduction¶
在本题目录编译，示例使用 Windows 可执行文件名。GCC 16.2.0，实际测量选项为 -std=c++17 -O2 -Wall -Wextra .Python 生成器仅依赖标准库。
Compile from this problem directory; the examples use Windows executable names. Measurements use GCC 16.2.0 with -std=c++17 -O2 -Wall -Wextra . The Python generator uses only the standard library.
g++ -std=c++17 -O2 -Wall -Wextra std.cpp -o std.exe
python tests/generate.py --plan tests/plan.json --out-dir data --std std.exe
python tests/generate.py --out-dir selected --case 01 --case 02 --std std.exe
--case 可重复指定；未指定则生成全部配方。未知编号会报错。省略 --std 只生成输入，提供它则运行指定程序生成 .out .同一配方和种子生成相同输入。正式大数据和平台二进制不随包提交；样例已包含。
Repeat --case to select several recipes, or omit it for all recipes. Unknown IDs are rejected. Omit --std for inputs only, or supply it to generate .out files by running the named executable. A fixed recipe and seed reproduce the same input. Large generated data and platform binaries are not distributed; samples are included.
配方 / Recipes¶
| ID | 分组 / Group | 分值 / Score | 目的 / Purpose |
|---|---|---|---|
| 01 | 1 | 10% | same |
| 02 | 1 | 10% | binary |
| 03 | 2 | 10% | same |
| 04 | 2 | 10% | alternating |
| 05 | 2 | 10% | ascii |
| 06 | 3 | 10% | same |
| 07 | 3 | 10% | ascii |
| 08 | 3 | 10% | alternating |
| 09 | 3 | 10% | singular |
| 10 | 3 | 10% | binary |
独立验证 / Independent Validation¶
小串枚举所有子串并计出现次数，期望用整数最大公约数约分。正式同字符、交替字符和不可逆分母构造有独立闭式计数；两个十万长随机串用后缀数组和自动机交叉验证，没有声称对它们做逐子串枚举。
Small strings enumerate all substrings and occurrences; exact fractions are reduced with integer gcd. Formal constant, alternating, and singular-denominator strings have separate closed counts. Two random strings of length 100000 are cross-checked by suffix arrays and automata; they are not exhaustively enumerated.
独立小输入共 661 组，10份正式配方均重复生成并核对输入限制及分组；另检查6类非法输入。每份程序每个正式输入测时5次，并单独测峰值。
There are 661 independent small inputs. All 10 formal recipes were regenerated and checked against input and group constraints; six invalid-input classes were rejected. Each program has five timing runs per formal input and a separate peak-memory run.
另一程序 / Alternative Program¶
g++ -std=c++17 -O2 -Wall -Wextra alternative.cpp -o alternative.exe
python tests/generate.py --out-dir alternative-data --std alternative.exe
两份程序依赖同目录的 expectation.hpp .自动机通过当前完整数据，但稠密94路转移比后缀数组耗费更多内存。
Both programs require expectation.hpp in the same directory. The automaton passes the complete data, with higher memory use from dense 94-way transitions.
工具和证据 / Tools and Evidence¶
仓库根目录的 check_r35.py 包含独立小模型和输入校验；benchmark_r35.py 重新生成正式数据、交叉检查并测量。先将编译产物放在 build/R35/<slug>-std.exe（有补充程序时也放 <slug>-alternative.exe）。基准支持 --only <slug> ，当前峰值测量依赖 Windows。校验工具的开发断言需正常 Python 模式运行；独立公开评分器不依赖断言。
From the repository root, check_r35.py supplies independent small models and input validation. benchmark_r35.py regenerates, verifies, and measures formal inputs. First place compiled programs at build/R35/<slug>-std.exe and, if applicable, <slug>-alternative.exe . The benchmark accepts --only <slug> ; peak-memory measurement currently requires Windows. Run development validators with normal Python assertions enabled; the standalone public checker does not rely on assertions.
逐次测量与哈希 / Timings and hashes · 环境与时限校准 / Environment and calibration