Order book

Simulate a sell-side order book and calculate the cost of a final purchase as fast as possible.

Input

1,000,000 order updates on STDIN, one per line:

+ <price> <size> – add a new sell order
- <position> – delete the order at the given position
= <size> – buy <size> shares from the top of the order book

After all updates are processed, buy 1,000 shares from the top of the order book.

Output

Print the total cost of the final 1,000-share purchase to STDOUT.

Order Book Rules

Orders are sorted by price ascending (lower is better). Orders at the same price are sorted by arrival time (earlier first). Position 0 is the best (lowest-price) offer.

The = (buy) operation consumes shares starting from position 0. If an order is fully consumed, it is removed from the book.

Example

Input	Order book state
`+ 1137 100`	(1137,100)
`+ 1130 10`	(1130,10), (1137,100)
`+ 1130 50`	(1130,10), (1130,50), (1137,100)
`- 0`	(1130,50), (1137,100)
`+ 1150 200`	(1130,50), (1137,100), (1150,200)
`= 200`	(1150,150)

Total cost of the last buy: 50 * 1130 + 100 * 1137 + 50 * 1150.

Restrictions:30s256Mb 1 Score Packages

Feel free to create an issue if you need an extra library from the standard Ubuntu repository.

Name	Version	Description
libc6-dev	2.39-0ubuntu8.7	GNU C Library: Development Libraries and Header Files Contains the symlinks, headers, and object files needed to compile and link programs which use the standard C library.
libclang-common-14-dev	1:14.0.6-19build4	Clang library - Common development package Clang project is a C, C++, Objective C and Objective C++ front-end based on the LLVM compiler. Its goal is to offer a replacement to the GNU Compiler Collection (GCC). . Clang implements all of the ISO C++ 1998, 11, 14 and 17 standards and also provides most of the support of C++20. . This package contains the Clang generic headers.
libclang-common-15-dev	1:15.0.7-14build3	Clang library - Common development package Clang project is a C, C++, Objective C and Objective C++ front-end based on the LLVM compiler. Its goal is to offer a replacement to the GNU Compiler Collection (GCC). . Clang implements all of the ISO C++ 1998, 11, 14 and 17 standards and also provides most of the support of C++20. . This package contains the Clang generic headers.
libclang-common-16-dev	1:16.0.6-23ubuntu4	Clang library - Common development package Clang project is a C, C++, Objective C and Objective C++ front-end based on the LLVM compiler. Its goal is to offer a replacement to the GNU Compiler Collection (GCC). . Clang implements all of the ISO C++ 1998, 11, 14 and 17 standards and also provides most of the support of C++20. . This package contains the Clang generic headers.
libclang-common-17-dev	1:17.0.6-9ubuntu1	Clang library - Common development package Clang project is a C, C++, Objective C and Objective C++ front-end based on the LLVM compiler. Its goal is to offer a replacement to the GNU Compiler Collection (GCC). . Clang implements all of the ISO C++ 1998, 11, 14 and 17 standards and also provides most of the support of C++20. . This package contains the Clang generic headers.
libclang-common-18-dev	1:18.1.3-1ubuntu1	Clang library - Common development package Clang project is a C, C++, Objective C and Objective C++ front-end based on the LLVM compiler. Its goal is to offer a replacement to the GNU Compiler Collection (GCC). . Clang implements all of the ISO C++ 1998, 11, 14 and 17 standards and also provides most of the support of C++20. . This package contains the Clang generic headers.
libclang-common-19-dev	1:19.1.1-1ubuntu1~24.04.2	Clang library - Common development package Clang project is a C, C++, Objective C and Objective C++ front-end based on the LLVM compiler. Its goal is to offer a replacement to the GNU Compiler Collection (GCC). . Clang implements all of the ISO C++ 1998, 11, 14 and 17 standards and also provides most of the support of C++20. . This package contains the Clang generic headers.
libclang-common-20-dev	1:20.1.2-0ubuntu1~24.04.2	Clang library - Common development package Clang project is a C, C++, Objective C and Objective C++ front-end based on the LLVM compiler. Its goal is to offer a replacement to the GNU Compiler Collection (GCC). . Clang implements all of the ISO C++ 1998, 11, 14 and 17 standards and also provides most of the support of C++20. . This package contains the Clang generic headers.
libcrypt-dev	1:4.4.36-4build1	libcrypt development files This package contains the files needed for developing applications that use libcrypt.
libgcc-10-dev	10.5.0-4ubuntu2.1	GCC support library (development files) This package contains the headers and static library files necessary for building C programs which use libgcc, libgomp, libquadmath, libssp or libitm.
libgcc-11-dev	11.5.0-1ubuntu1~24.04.1	GCC support library (development files) This package contains the headers and static library files necessary for building C programs which use libgcc, libgomp, libquadmath, libssp or libitm.
libgcc-12-dev	12.4.0-2ubuntu1~24.04.1	GCC support library (development files) This package contains the headers and static library files necessary for building C programs which use libgcc, libgomp, libquadmath, libssp or libitm.
libgcc-13-dev	13.3.0-6ubuntu2~24.04.1	GCC support library (development files) This package contains the headers and static library files necessary for building C programs which use libgcc, libgomp, libquadmath, libssp or libitm.
libgcc-14-dev	14.2.0-4ubuntu2~24.04.1	GCC support library (development files) This package contains the headers and static library files necessary for building C programs which use libgcc, libgomp, libquadmath, libssp or libitm.
libobjc-13-dev	13.3.0-6ubuntu2~24.04.1	Runtime library for GNU Objective-C applications (development files) This package contains the headers and static library files needed to build GNU ObjC applications.
libssl-dev	3.0.13-0ubuntu3.9	Secure Sockets Layer toolkit - development files This package is part of the OpenSSL project's implementation of the SSL and TLS cryptographic protocols for secure communication over the Internet. . It contains development libraries, header files, and manpages for libssl and libcrypto.
libstdc++-10-dev	10.5.0-4ubuntu2.1	GNU Standard C++ Library v3 (development files) This package contains the headers and static library files necessary for building C++ programs which use libstdc++. . libstdc++-v3 is a complete rewrite from the previous libstdc++-v2, which was included up to g++-2.95. The first version of libstdc++-v3 appeared in g++-3.0.
libstdc++-11-dev	11.5.0-1ubuntu1~24.04.1	GNU Standard C++ Library v3 (development files) This package contains the headers and static library files necessary for building C++ programs which use libstdc++. . libstdc++-v3 is a complete rewrite from the previous libstdc++-v2, which was included up to g++-2.95. The first version of libstdc++-v3 appeared in g++-3.0.
libstdc++-12-dev	12.4.0-2ubuntu1~24.04.1	GNU Standard C++ Library v3 (development files) This package contains the headers and static library files necessary for building C++ programs which use libstdc++. . libstdc++-v3 is a complete rewrite from the previous libstdc++-v2, which was included up to g++-2.95. The first version of libstdc++-v3 appeared in g++-3.0.
libstdc++-13-dev	13.3.0-6ubuntu2~24.04.1	GNU Standard C++ Library v3 (development files) This package contains the headers and static library files necessary for building C++ programs which use libstdc++. . libstdc++-v3 is a complete rewrite from the previous libstdc++-v2, which was included up to g++-2.95. The first version of libstdc++-v3 appeared in g++-3.0.
libstdc++-14-dev	14.2.0-4ubuntu2~24.04.1	GNU Standard C++ Library v3 (development files) This package contains the headers and static library files necessary for building C++ programs which use libstdc++. . libstdc++-v3 is a complete rewrite from the previous libstdc++-v2, which was included up to g++-2.95. The first version of libstdc++-v3 appeared in g++-3.0.
libtbb-dev	2021.11.0-2ubuntu2	parallelism library for C++ - development files TBB is a library that helps you leverage multi-core processor performance without having to be a threading expert. It represents a higher-level, task-based parallelism that abstracts platform details and threading mechanism for performance and scalability. . (Note: if you are a user of the i386 architecture, i.e., 32-bit Intel or compatible hardware, this package only supports Pentium4-compatible and higher processors.) . This package includes the TBB development files.

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Run Statistics

#	Date	Score	Wall Time	CPU User	CPU System	Memory
1	Sep 11, 2025 16:28	126,786	96,053,074	70,514,000	3,022,000	2,506,752
2	Sep 11, 2025 16:28	130,078	98,861,861	71,422,000	4,023,000	2,371,584
3	Sep 11, 2025 16:27	130,490	102,535,729	73,666,000	2,018,000	2,338,816
4	Sep 11, 2025 16:27	131,031	97,041,845	71,999,000	3,999,000	2,506,752
5	Sep 11, 2025 16:27	131,378	99,756,485	71,186,000	5,013,000	2,293,760
6	Sep 11, 2025 16:28	131,740	102,903,996	72,388,000	4,021,000	2,322,432
7	Sep 11, 2025 16:28	132,505	106,557,595	74,857,000	1,996,000	2,408,448
8	Sep 11, 2025 16:28	132,705	97,732,704	73,971,000	2,998,000	2,326,528
9	Sep 11, 2025 16:28	133,464	102,144,151	70,372,000	7,037,000	2,273,280
10	Sep 11, 2025 16:28	133,467	98,835,738	74,395,000	3,016,000	2,433,024
11	Sep 11, 2025 16:28	133,695	100,526,468	73,515,000	4,028,000	2,355,200
12	Sep 11, 2025 16:28	134,421	101,874,262	73,966,000	3,998,000	2,490,368
13	Sep 11, 2025 16:27	134,729	95,345,161	73,134,000	5,009,000	2,306,048
14	Sep 11, 2025 16:28	134,829	111,192,684	72,186,000	6,015,000	2,424,832
15	Sep 11, 2025 16:28	135,091	101,802,261	77,349,000	1,004,000	2,428,928
16	Sep 11, 2025 16:27	135,152	106,786,883	73,364,000	5,024,000	2,326,528
17	Sep 11, 2025 16:27	135,700	111,549,982	71,643,000	7,063,000	2,371,584
18	Sep 11, 2025 16:28	138,712	102,581,966	77,436,000	3,017,000	2,387,968
19	Sep 11, 2025 16:25	139,317	104,039,093	78,809,000	1,995,000	2,408,448
20	Sep 11, 2025 16:27	139,905	110,255,374	78,140,000	3,005,000	2,482,176
21	Sep 11, 2025 16:25	141,355	112,178,785	72,988,000	8,998,000	2,502,656
22	Sep 11, 2025 16:25	141,409	107,375,429	77,016,000	5,001,000	2,338,816
23	Sep 11, 2025 16:27	143,443	111,478,409	75,178,000	8,019,000	2,363,392
24	Sep 11, 2025 16:25	143,872	115,914,059	78,420,000	5,026,000	2,371,584
25	Sep 11, 2025 16:27	143,988	105,713,380	74,458,000	9,055,000	2,469,888
26	Sep 11, 2025 16:22	145,629	110,490,922	79,438,000	5,027,000	2,265,088
27	Sep 11, 2025 16:22	145,660	108,551,129	81,466,000	3,017,000	2,330,624
28	Sep 11, 2025 16:25	146,459	113,435,593	79,950,000	4,996,000	2,301,952
29	Sep 11, 2025 16:25	147,286	109,493,075	77,386,000	8,040,000	2,297,856
30	Sep 11, 2025 16:25	147,712	110,599,932	81,642,000	4,031,000	2,301,952
31	Sep 11, 2025 16:22	148,424	110,768,148	80,080,000	6,006,000	2,412,544
32	Sep 11, 2025 16:22	148,660	112,861,976	80,208,000	6,015,000	2,478,080
33	Sep 11, 2025 16:25	149,372	115,414,994	79,585,000	7,051,000	2,412,544
34	Sep 11, 2025 16:22	150,643	117,052,116	79,339,000	8,034,000	2,510,848
35	Sep 11, 2025 16:22	151,660	114,031,939	82,966,000	4,997,000	2,424,832
36	Sep 11, 2025 16:22	152,302	116,645,688	80,305,000	8,030,000	2,314,240
37	Sep 11, 2025 16:22	152,391	117,010,732	82,361,000	6,026,000	2,396,160
38	Sep 11, 2025 16:25	156,788	117,033,217	85,941,000	4,996,000	2,318,336
39	Sep 11, 2025 16:22	157,140	119,327,979	84,131,000	7,010,000	2,334,720

Model	Intel(R) Xeon(R) CPU E3-1271 v3 @ 3.60GHz
Cores	1