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	Error
1	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "1022661 ", got "1022757 "
2	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "1244593 ", got "1242282 "
3	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "1139473 ", got "1165852 "
4	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "685148 ", got "706325 "
5	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "968471 ", got "1033424 "
6	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "1685453 ", got "1731087 "
7	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "2001236 ", got "2004207 "
8	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "2420050 ", got "2500878 "
9	Oct 15, 2024 21:31	0	0	0	0	0	Error: expected "2244344 ", got "2258262 "
10	Oct 15, 2024 21:32	0	0	0	0	0	Error: expected "1860845 ", got "1947631 "
11	Oct 15, 2024 21:32	0	0	0	0	0	Error: expected "925592 ", got "998288 "
12	Oct 15, 2024 21:32	0	0	0	0	0	Error: expected "2059700 ", got "2062325 "
13	Oct 15, 2024 21:32	0	0	0	0	0	Error: expected "2287063 ", got "2289207 "
14	Oct 15, 2024 21:32	0	0	0	0	0	Error: expected "1916537 ", got "1913115 "
15	Oct 15, 2024 21:32	0	0	0	0	0	Error: expected "2389232 ", got "2406315 "
16	Oct 15, 2024 21:31	54,688	60,050,693	30,696,000	1,023,000	2,514,944
17	Oct 15, 2024 21:32	55,157	61,883,509	29,992,000	1,999,000	2,469,888
18	Oct 15, 2024 21:33	55,186	55,386,964	30,008,000	2,000,000	2,392,064
19	Oct 15, 2024 21:31	55,291	56,623,774	28,061,000	4,008,000	2,445,312
20	Oct 15, 2024 21:31	55,333	57,627,472	30,088,000	2,005,000	2,293,760
21	Oct 15, 2024 21:31	55,567	54,790,166	28,201,000	4,028,000	2,514,944
22	Oct 15, 2024 21:31	55,647	58,343,534	29,250,000	3,025,000	2,289,664
23	Oct 15, 2024 21:32	55,671	54,760,994	29,262,000	3,027,000	2,428,928
24	Oct 15, 2024 21:32	55,674	61,969,367	31,282,000	1,009,000	2,469,888
25	Oct 15, 2024 21:31	55,681	54,595,028	29,268,000	3,027,000	2,469,888
26	Oct 15, 2024 21:31	55,747	53,719,114	28,292,000	4,041,000	2,469,888
27	Oct 15, 2024 21:31	55,795	55,534,748	29,328,000	3,033,000	2,469,888
28	Oct 15, 2024 21:33	55,886	61,184,468	28,363,000	4,051,000	2,469,888
29	Oct 15, 2024 21:32	55,931	57,295,256	28,385,000	4,055,000	2,469,888
30	Oct 15, 2024 21:32	56,045	63,072,647	30,475,000	2,031,000	2,277,376
31	Oct 15, 2024 21:31	56,047	56,216,681	30,476,000	2,031,000	2,351,104
32	Oct 15, 2024 21:33	56,081	55,740,892	29,478,000	3,049,000	2,465,792
33	Oct 15, 2024 21:32	56,755	57,320,883	30,923,000	1,995,000	2,326,528

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