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	Jan 22, 2025 23:08	113,143	90,836,137	64,614,000	1,009,000	2,416,640
2	Jan 22, 2025 23:09	113,209	92,358,420	63,641,000	2,020,000	2,535,424
3	Jan 22, 2025 23:07	113,764	91,320,291	63,984,000	1,999,000	2,412,544
4	Jan 22, 2025 23:07	114,510	99,138,728	64,404,000	2,012,000	2,535,424
5	Jan 22, 2025 23:08	114,638	90,406,049	66,490,000	0	2,510,848
6	Jan 23, 2025 00:51	114,691	92,860,189	64,506,000	2,015,000	2,273,280
7	Jan 22, 2025 23:08	114,959	92,907,279	64,656,000	2,020,000	2,531,328
8	Jan 22, 2025 23:09	114,998	96,685,377	64,678,000	2,021,000	2,412,544
9	Jan 22, 2025 23:09	115,050	96,133,648	65,718,000	1,011,000	2,535,424
10	Jan 23, 2025 00:51	115,322	96,929,375	64,891,000	1,996,000	2,273,280
11	Jan 22, 2025 23:07	115,324	99,199,446	64,892,000	1,996,000	2,412,544
12	Jan 22, 2025 23:08	115,331	94,665,966	64,896,000	1,996,000	2,416,640
13	Jan 22, 2025 23:07	115,340	96,555,053	65,884,000	1,013,000	2,535,424
14	Jan 22, 2025 23:08	115,341	91,162,106	66,898,000	0	2,408,448
15	Jan 22, 2025 23:09	115,348	92,052,553	64,905,000	1,997,000	2,412,544
16	Jan 22, 2025 23:07	115,481	93,485,081	64,980,000	1,999,000	2,408,448
17	Jan 22, 2025 23:09	115,590	92,989,891	65,041,000	2,001,000	2,523,136
18	Jan 22, 2025 23:08	115,641	88,980,382	65,070,000	2,002,000	2,535,424
19	Jan 22, 2025 23:20	115,838	90,293,779	64,178,000	3,008,000	2,535,424
20	Jan 22, 2025 23:07	115,916	94,460,941	65,225,000	2,006,000	2,535,424
21	Jan 23, 2025 00:51	116,124	96,668,870	65,342,000	2,010,000	2,535,424
22	Jan 22, 2025 23:07	116,286	88,094,353	66,440,000	1,006,000	2,416,640
23	Jan 22, 2025 23:07	116,310	91,117,624	65,447,000	2,013,000	2,535,424
24	Jan 22, 2025 23:08	116,378	97,453,133	65,485,000	2,014,000	2,523,136
25	Jan 22, 2025 23:08	116,388	89,770,748	67,505,000	0	2,416,640
26	Jan 23, 2025 01:22	116,502	92,236,498	66,563,000	1,008,000	2,412,544
27	Jan 22, 2025 23:20	116,512	95,589,934	65,560,000	2,017,000	2,420,736
28	Jan 22, 2025 23:08	116,519	93,502,377	65,564,000	2,017,000	2,273,280
29	Jan 22, 2025 23:07	116,607	99,015,783	66,623,000	1,009,000	2,535,424
30	Jan 23, 2025 01:22	117,024	97,891,247	65,878,000	1,996,000	2,412,544
31	Jan 22, 2025 23:09	117,057	95,990,099	64,898,000	2,995,000	2,535,424
32	Jan 23, 2025 01:22	117,281	92,314,152	65,022,000	3,001,000	2,531,328
33	Jan 22, 2025 23:20	117,572	89,946,191	65,184,000	3,008,000	2,535,424

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