Building a Tower

Will You Draw?
Or Will You Get
Fined?

Let f(n) represent the number of ways one can fill a 3 x 3 x n tower with blocks of 2x1x1.

You're allowed to rotate the blocks in any way you like; however, rotations, reflections etc of the tower itself are counted as distinct.

For example (with q = 100000007):

f(2) = 229,

f(4) = 117805,

f(10) mod q = 96149360,

f (103) mod q = 24806056,

f(106) mod q = 30808124.

Find f(1010000) mod 100000007.


01 : 07 : 28 : 43

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Fund Administrator | Repool, Inc.

4 World Trade Center, 150 Greenwich St, 29th Floor, New York, NY 10006

© 2025, Solvent Capital Partners

Risk Warning

All investments and trading activities involve significant risk, including the possible loss of your entire investment. Past performance is not indicative of future results. Products and services offered by Solvent.Life are intended for sophisticated investors who fully understand the risks involved. You should carefully consider your investment objectives, experience level, and risk appetite before participating. Solvent.Life does not guarantee any returns or outcomes. If you are unsure about any products or investment decisions, seek advice from an independent financial advisor.

Regulation

Securities are offered and sold pursuant to Regulation D, Rule 506(c) under the U.S. Securities Act of 1933, exclusively to accredited investors. Solvent.Life files required Form D notices with the U.S. Securities and Exchange Commission (SEC). For detailed offering information and filings, please consult the SEC’s EDGAR database. This is not an offer or solicitation to any person in any jurisdiction where such an offer or solicitation would be unlawful. Repool serves as the fund administrator for Solvent Capital GP LLC, headquartered at 4 World Trade Center, 150 Greenwich St, 29th Floor, New York, NY 10006

Custody of Funds

Client funds are held in segregated accounts and managed in accordance with applicable laws and regulations. Solvent Capital Partners maintains strict procedures to ensure the security and integrity of all client funds. All custodial arrangements are fully compliant with regulatory requirements and subject to periodic review and audit.

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Headquarters | Solvent Capital LP

100 Bishopsgate, 19th Floor, Office 1941, EC2N 4AG, London, United Kingdom

Investment Manager | Solvent Capital Partners LLC

Fund Administrator | Repool, Inc.

4 World Trade Center, 150 Greenwich St, 29th Floor, New York, NY 10006

© 2025, Solvent Capital Partners

Risk Warning

All investments and trading activities involve significant risk, including the possible loss of your entire investment. Past performance is not indicative of future results. Products and services offered by Solvent.Life are intended for sophisticated investors who fully understand the risks involved. You should carefully consider your investment objectives, experience level, and risk appetite before participating. Solvent.Life does not guarantee any returns or outcomes. If you are unsure about any products or investment decisions, seek advice from an independent financial advisor.

Regulation

Securities are offered and sold pursuant to Regulation D, Rule 506(c) under the U.S. Securities Act of 1933, exclusively to accredited investors. Solvent.Life files required Form D notices with the U.S. Securities and Exchange Commission (SEC). For detailed offering information and filings, please consult the SEC’s EDGAR database. This is not an offer or solicitation to any person in any jurisdiction where such an offer or solicitation would be unlawful. Repool serves as the fund administrator for Solvent Capital GP LLC, headquartered at 4 World Trade Center, 150 Greenwich St, 29th Floor, New York, NY 10006

Custody of Funds

Client funds are held in segregated accounts and managed in accordance with applicable laws and regulations. Solvent Capital Partners maintains strict procedures to ensure the security and integrity of all client funds. All custodial arrangements are fully compliant with regulatory requirements and subject to periodic review and audit.

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