removing orientation by rewriting input #1421

Job	Run time
macos-latest: clang++ Release Threads	29m 16s
macos-latest: clang++ Release OneTBB	3m 54s
macos-latest: clang++ Release PaRSEC	4m 34s
ubuntu-20.04: /usr/bin/g++-9 Release Threads	57m 56s
ubuntu-20.04: /usr/bin/g++-9 Release OneTBB	3m 16s
ubuntu-20.04: /usr/bin/g++-9 Release PaRSEC	3m 53s
macos-latest: clang++ Debug Threads	31m 13s
macos-latest: clang++ Debug OneTBB	4m 26s
macos-latest: clang++ Debug PaRSEC	4m 0s
ubuntu-20.04: /usr/bin/g++-9 Debug Threads	1h 3m 24s
ubuntu-20.04: /usr/bin/g++-9 Debug OneTBB	2m 55s
ubuntu-20.04: /usr/bin/g++-9 Debug PaRSEC	2m 56s
	3h 31m 43s

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